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523046640325 = 52112382695121
BaseRepresentation
bin1111001110010000000…
…00100101101011000101
31212000002000112100022211
413213020000211223011
532032144414442300
61040141224423421
752534404041506
oct7471000455305
91760060470284
10523046640325
11191906213490
1285453317b71
133a427a8a061
141b45bdb2bad
15d9140a74ba
hex79c8025ac5

523046640325 has 24 divisors (see below), whose sum is σ = 738302049216. Its totient is φ = 363858528000.

The previous prime is 523046640313. The next prime is 523046640329.

523046640325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523046640325 - 231 = 520899156677 is a prime.

It is a super-2 number, since 2×5230466403252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523046640329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41341236 + ... + 41353885.

It is an arithmetic number, because the mean of its divisors is an integer number (30762585384).

Almost surely, 2523046640325 is an apocalyptic number.

523046640325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523046640325 is a deficient number, since it is larger than the sum of its proper divisors (215255408891).

523046640325 is a wasteful number, since it uses less digits than its factorization.

523046640325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82695165 (or 82695160 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 523046640325 in words is "five hundred twenty-three billion, forty-six million, six hundred forty thousand, three hundred twenty-five".

Divisors: 1 5 11 23 25 55 115 253 275 575 1265 6325 82695121 413475605 909646331 1901987783 2067378025 4548231655 9509938915 20921865613 22741158275 47549694575 104609328065 523046640325