25830596961 has 45 divisors (see below), whose sum is σ = 40547902031. Its totient is φ = 15845607648.

The previous prime is 25830596941. The next prime is 25830596983. The reversal of 25830596961 is 16969503852.

It is a happy number.

The square root of 25830596961 is 160719.

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

25830596961 is a `hidden beast` number, since 2 + 583 + 0 + 59 + 6 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 18948899025 + 6881697936 = 137655^2 + 82956^2 .

It is not a de Polignac number, because 25830596961 - 2¹¹ = 25830594913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25830596898 and 25830596907.

It is not an unprimeable number, because it can be changed into a prime (25830596941) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81484375 + ... + 81484691.

Almost surely, 2^25830596961 is an apocalyptic number.

25830596961 is the 160719-th square number.

25830596961 is the 80360-th centered octagonal number.

It is an amenable number.

25830596961 is a deficient number, since it is larger than the sum of its proper divisors (14717305070).

25830596961 is an frugal number, since it uses more digits than its factorization.

25830596961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 25830596961 in words is "twenty-five billion, eight hundred thirty million, five hundred ninety-six thousand, nine hundred sixty-one".