125790099561 has 27 divisors (see below), whose sum is σ = 211374111351. Its totient is φ = 71875800864.

The previous prime is 125790099551. The next prime is 125790099581. The reversal of 125790099561 is 165990097521.

The square root of 125790099561 is 354669.

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

125790099561 is a `hidden beast` number, since 1 + 2 + 5 + 79 + 0 + 0 + 9 + 9 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4268139561 + 121521960000 = 65331^2 + 348600^2 .

It is not a de Polignac number, because 125790099561 - 2¹⁹ = 125789575273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125790099498 and 125790099507.

It is not an unprimeable number, because it can be changed into a prime (125790099521) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7439605 + ... + 7456493.

Almost surely, 2^125790099561 is an apocalyptic number.

125790099561 is the 354669-th square number.

125790099561 is the 177335-th centered octagonal number.

It is an amenable number.

125790099561 is a deficient number, since it is larger than the sum of its proper divisors (85584011790).

125790099561 is an frugal number, since it uses more digits than its factorization.

125790099561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33798 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 125790099561 in words is "one hundred twenty-five billion, seven hundred ninety million, ninety-nine thousand, five hundred sixty-one".