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505340525245353 = 3766112136398533
BaseRepresentation
bin111001011100110101100001…
…0011111110111001110101001
32110021021002020002000120020220
41302321223002133313032221
51012213444343430322403
64550434122112040253
7211304435206513650
oct16271530237671651
92407232202016226
10505340525245353
11137020793334236
1248816467533089
13188c853a3bcc75
148cb087d19a197
153d65100468953
hex1cb9ac27f73a9

505340525245353 has 16 divisors (see below), whose sum is σ = 770043891044736. Its totient is φ = 288765569710080.

The previous prime is 505340525245343. The next prime is 505340525245357. The reversal of 505340525245353 is 353542525043505.

It is a de Polignac number, because none of the positive numbers 2k-505340525245353 is a prime.

It is a super-3 number, since 3×5053405252453533 (a number of 45 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 505340525245296 and 505340525245305.

It is not an unprimeable number, because it can be changed into a prime (505340525245357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4315726 + ... + 32082807.

It is an arithmetic number, because the mean of its divisors is an integer number (48127743190296).

Almost surely, 2505340525245353 is an apocalyptic number.

It is an amenable number.

505340525245353 is a deficient number, since it is larger than the sum of its proper divisors (264703365799383).

505340525245353 is a wasteful number, since it uses less digits than its factorization.

505340525245353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37059664.

The product of its (nonzero) digits is 27000000, while the sum is 51.

The spelling of 505340525245353 in words is "five hundred five trillion, three hundred forty billion, five hundred twenty-five million, two hundred forty-five thousand, three hundred fifty-three".

Divisors: 1 3 7 21 661121 1983363 4627847 13883541 36398533 109195599 254789731 764369193 24063834535493 72191503606479 168446841748451 505340525245353