961310025 has 135 divisors (see below), whose sum is σ = 1965257679. Its totient is φ = 464330880.

The previous prime is 961310023. The next prime is 961310029. The reversal of 961310025 is 520013169.

The square root of 961310025 is 31005.

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

961310025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 754985529 + 206324496 = 27477^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 961310025 - 2¹ = 961310023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (961310023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 18137899 + ... + 18137951.

Almost surely, 2^961310025 is an apocalyptic number.

961310025 is the 31005-th square number.

961310025 is the 15503-rd centered octagonal number.

It is an amenable number.

961310025 is an abundant number, since it is smaller than the sum of its proper divisors (1003947654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961310025 is a wasteful number, since it uses less digits than its factorization.

961310025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 961310025 is about 986.9333479256.

The spelling of 961310025 in words is "nine hundred sixty-one million, three hundred ten thousand, twenty-five".