10409100625 has 135 divisors (see below), whose sum is σ = 16951138743. Its totient is φ = 6366360000.

The previous prime is 10409100599. The next prime is 10409100661. The reversal of 10409100625 is 52600190401.

The square root of 10409100625 is 102025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5775848001 + 4633252624 = 75999^2 + 68068^2 .

It is not a de Polignac number, because 10409100625 - 2¹¹ = 10409098577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10409100593 and 10409100602.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 196398099 + ... + 196398151.

Almost surely, 2^10409100625 is an apocalyptic number.

10409100625 is the 102025-th square number.

10409100625 is the 51013-rd centered octagonal number.

It is an amenable number.

10409100625 is a deficient number, since it is larger than the sum of its proper divisors (6542038118).

10409100625 is an frugal number, since it uses more digits than its factorization.

10409100625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10409100625 in words is "ten billion, four hundred nine million, one hundred thousand, six hundred twenty-five".