125747542881 has 75 divisors (see below), whose sum is σ = 198956369315. Its totient is φ = 79148728800.

The previous prime is 125747542873. The next prime is 125747542903. The reversal of 125747542881 is 188245747521.

The square root of 125747542881 is 354609.

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

125747542881 is a `hidden beast` number, since 1 + 2 + 5 + 74 + 75 + 428 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6059221281 + 119688321600 = 77841^2 + 345960^2 .

It is not a de Polignac number, because 125747542881 - 2³ = 125747542873 is a prime.

It is a super-2 number, since 2×125747542881² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125747542831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3067013221 + ... + 3067013261.

Almost surely, 2^125747542881 is an apocalyptic number.

125747542881 is the 354609-th square number.

125747542881 is the 177305-th centered octagonal number.

It is an amenable number.

125747542881 is a deficient number, since it is larger than the sum of its proper divisors (73208826434).

125747542881 is an frugal number, since it uses more digits than its factorization.

125747542881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 75 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

The spelling of 125747542881 in words is "one hundred twenty-five billion, seven hundred forty-seven million, five hundred forty-two thousand, eight hundred eighty-one".