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61064187118025 = 52713534871039921
BaseRepresentation
bin11011110001001100111010…
…01011101000000111001001
322000012200100012012101022212
431320212131023220013021
531000433423400234100
6333512300021354505
715601512324251360
oct1570463513500711
9260180305171285
1061064187118025
11185031a3762883
126a22794868a35
13280c435bbc630
1411117457747d7
1570d646454635
hex37899d2e81c9

61064187118025 has 96 divisors (see below), whose sum is σ = 95146773216768. Its totient is φ = 37844435865600.

The previous prime is 61064187118013. The next prime is 61064187118037. The reversal of 61064187118025 is 52081178146016.

61064187118025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61064187118013) and next prime (61064187118037).

It is not a de Polignac number, because 61064187118025 - 26 = 61064187117961 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58200065 + ... + 59239985.

It is an arithmetic number, because the mean of its divisors is an integer number (991112221008).

Almost surely, 261064187118025 is an apocalyptic number.

61064187118025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61064187118025 is a deficient number, since it is larger than the sum of its proper divisors (34082586098743).

61064187118025 is a wasteful number, since it uses less digits than its factorization.

61064187118025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040491 (or 1040486 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 50.

The spelling of 61064187118025 in words is "sixty-one trillion, sixty-four billion, one hundred eighty-seven million, one hundred eighteen thousand, twenty-five".

Divisors: 1 5 7 13 25 35 53 65 91 175 265 325 371 455 487 689 1325 1855 2275 2435 3409 3445 4823 6331 9275 12175 17045 17225 24115 25811 31655 44317 85225 120575 129055 158275 180677 221585 335543 645275 903385 1039921 1107925 1677715 2348801 4516925 5199605 7279447 8388575 11744005 13518973 25998025 36397235 55115813 58720025 67594865 94632811 181986175 275579065 337974325 385810691 473164055 506441527 716505569 1377895325 1929053455 2365820275 2532207635 3545090689 3582527845 5015538983 6583739851 9645267275 12661038175 17725453445 17912639225 25077694915 26841400931 32918699255 46086178957 88627267225 125388474575 134207004655 164593496275 187889806517 230430894785 348938212103 671035023275 939449032585 1152154473925 1744691060515 2442567484721 4697245162925 8723455302575 12212837423605 61064187118025