97565646025 has 27 divisors (see below), whose sum is σ = 122010648501. Its totient is φ = 77394072480.

The previous prime is 97565645939. The next prime is 97565646037. The reversal of 97565646025 is 52064656579.

The square root of 97565646025 is 312355.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1003812489 + 96561833536 = 31683^2 + 310744^2 .

It is a de Polignac number, because none of the positive numbers 2^k-97565646025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279557551 + ... + 279557899.

Almost surely, 2^97565646025 is an apocalyptic number.

97565646025 is the 312355-th square number.

97565646025 is the 156178-th centered octagonal number.

It is an amenable number.

97565646025 is a deficient number, since it is larger than the sum of its proper divisors (24445002476).

97565646025 is an frugal number, since it uses more digits than its factorization.

97565646025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

It can be divided in two parts, 97565 and 646025, that added together give a triangular number (743590 = T₁₂₁₉).

The spelling of 97565646025 in words is "ninety-seven billion, five hundred sixty-five million, six hundred forty-six thousand, twenty-five".