523045540325 has 96 divisors (see below), whose sum is σ = 876093926400. Its totient is φ = 299737267200.

The previous prime is 523045540321. The next prime is 523045540337.

523045540325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523045540325 - 2² = 523045540321 is a prime.

It is a super-2 number, since 2×523045540325² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523045540321) 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 95 ways as a sum of consecutive naturals, for example, 1221326 + ... + 1593024.

It is an arithmetic number, because the mean of its divisors is an integer number (9125978400).

Almost surely, 2^523045540325 is an apocalyptic number.

523045540325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523045540325 is a deficient number, since it is larger than the sum of its proper divisors (353048386075).

523045540325 is a wasteful number, since it uses less digits than its factorization.

523045540325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371787 (or 371782 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

The spelling of 523045540325 in words is "five hundred twenty-three billion, forty-five million, five hundred forty thousand, three hundred twenty-five".