125023527057664 has 81 divisors (see below), whose sum is σ = 251442866352531. Its totient is φ = 62043307929600.

The previous prime is 125023527057643. The next prime is 125023527057677. The reversal of 125023527057664 is 466750725320521.

The square root of 125023527057664 is 11181392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 49155803654400 + 75867723403264 = 7011120^2 + 8710208^2 .

It is a super-2 number, since 2×125023527057664² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 24509608714 + ... + 24509613814.

Almost surely, 2^{125023527057664} is an apocalyptic number.

125023527057664 is the 11181392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125023527057664

125023527057664 is an abundant number, since it is smaller than the sum of its proper divisors (126419339294867).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125023527057664 is an frugal number, since it uses more digits than its factorization.

125023527057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 55.

The spelling of 125023527057664 in words is "one hundred twenty-five trillion, twenty-three billion, five hundred twenty-seven million, fifty-seven thousand, six hundred sixty-four".