97953350625 has 225 divisors, whose sum is σ = 199863094431. Its totient is φ = 47772504000.

The previous prime is 97953350603. The next prime is 97953350639. The reversal of 97953350625 is 52605335979.

The square root of 97953350625 is 312975.

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

97953350625 is a `hidden beast` number, since 9 + 7 + 9 + 5 + 3 + 3 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 96751480401 + 1201870224 = 311049^2 + 34668^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 97953350625 - 2⁹ = 97953350113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 915451822 + ... + 915451928.

Almost surely, 2^97953350625 is an apocalyptic number.

97953350625 is the 312975-th square number.

97953350625 is the 156488-th centered octagonal number.

It is an amenable number.

97953350625 is an abundant number, since it is smaller than the sum of its proper divisors (101909743806).

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

97953350625 is an equidigital number, since it uses as much as digits as its factorization.

97953350625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 54.

The spelling of 97953350625 in words is "ninety-seven billion, nine hundred fifty-three million, three hundred fifty thousand, six hundred twenty-five".