97529351733025 has 27 divisors (see below), whose sum is σ = 121116617130873. Its totient is φ = 77907382716000.

The previous prime is 97529351733019. The next prime is 97529351733067. The reversal of 97529351733025 is 52033715392579.

The square root of 97529351733025 is 9875695.

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 34253945119969 + 63275406613056 = 5852687^2 + 7954584^2 .

It is not a de Polignac number, because 97529351733025 - 2⁵ = 97529351732993 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, 51304234575 + ... + 51304236475.

Almost surely, 2^{97529351733025} is an apocalyptic number.

97529351733025 is the 9875695-th square number.

97529351733025 is the 4937848-th centered octagonal number.

It is an amenable number.

97529351733025 is a deficient number, since it is larger than the sum of its proper divisors (23587265397848).

97529351733025 is an frugal number, since it uses more digits than its factorization.

97529351733025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 53581500, while the sum is 61.

The spelling of 97529351733025 in words is "ninety-seven trillion, five hundred twenty-nine billion, three hundred fifty-one million, seven hundred thirty-three thousand, twenty-five".