125125620361 has 15 divisors (see below), whose sum is σ = 145991427981. Its totient is φ = 107235675036.

The previous prime is 125125620343. The next prime is 125125620371. The reversal of 125125620361 is 163026521521.

The square root of 125125620361 is 353731.

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

It is not a de Polignac number, because 125125620361 - 2¹⁵ = 125125587593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125125620331) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17329210 + ... + 17336428.

Almost surely, 2^125125620361 is an apocalyptic number.

125125620361 is the 353731-st square number.

125125620361 is the 176866-th centered octagonal number.

It is an amenable number.

125125620361 is a deficient number, since it is larger than the sum of its proper divisors (20865807620).

125125620361 is an frugal number, since it uses more digits than its factorization.

125125620361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14466 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 125125620361 in words is "one hundred twenty-five billion, one hundred twenty-five million, six hundred twenty thousand, three hundred sixty-one".