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251325401523053 = 111315112281947741
BaseRepresentation
bin111001001001010001000001…
…010001111110001101101101
31012221212110210100120211211112
4321021101001101332031231
5230420203410242214203
62250305143501201405
7103636442512066004
oct7111210121761555
91187773710524745
10251325401523053
1173097560135890
1224230668560265
13aa30b645683b0
14460c3001ddc3b
151e0c83cbab6d8
hexe4944147e36d

251325401523053 has 32 divisors (see below), whose sum is σ = 297243310742784. Its totient is φ = 209488449600000.

The previous prime is 251325401523047. The next prime is 251325401523059. The reversal of 251325401523053 is 350325104523152.

It is an interprime number because it is at equal distance from previous prime (251325401523047) and next prime (251325401523059).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-251325401523053 is a prime.

It is a super-2 number, since 2×2513254015230532 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 251325401523053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251325401523059) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 264709763 + ... + 265657503.

It is an arithmetic number, because the mean of its divisors is an integer number (9288853460712).

Almost surely, 2251325401523053 is an apocalyptic number.

It is an amenable number.

251325401523053 is a deficient number, since it is larger than the sum of its proper divisors (45917909219731).

251325401523053 is a wasteful number, since it uses less digits than its factorization.

251325401523053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960197.

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 251325401523053 in words is "two hundred fifty-one trillion, three hundred twenty-five billion, four hundred one million, five hundred twenty-three thousand, fifty-three".

Divisors: 1 11 13 143 151 1661 1963 12281 21593 135091 159653 947741 1756183 1854431 10425151 12320633 20398741 24107603 135526963 143108891 265183633 1574197801 1860415583 11639207221 20464571413 128031279431 151309693873 1664406632603 1757520290371 19332723194081 22847763774823 251325401523053