25290858961 has 9 divisors (see below), whose sum is σ = 25542520731. Its totient is φ = 25041657384.

The previous prime is 25290858959. The next prime is 25290858997. The reversal of 25290858961 is 16985809252.

The square root of 25290858961 is 159031.

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

It can be written as a sum of positive squares in only one way, i.e., 17627607361 + 7663251600 = 132769^2 + 87540^2 .

It is not a de Polignac number, because 25290858961 - 2¹ = 25290858959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25290838961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17333650 + ... + 17335108.

It is an arithmetic number, because the mean of its divisors is an integer number (2838057859).

Almost surely, 2^25290858961 is an apocalyptic number.

25290858961 is the 159031-st square number.

25290858961 is the 79516-th centered octagonal number.

It is an amenable number.

25290858961 is a deficient number, since it is larger than the sum of its proper divisors (251661770).

25290858961 is an frugal number, since it uses more digits than its factorization.

25290858961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 25290858961 in words is "twenty-five billion, two hundred ninety million, eight hundred fifty-eight thousand, nine hundred sixty-one".