97272253225 has 135 divisors (see below), whose sum is σ = 150757458327. Its totient is φ = 62247255840.

The previous prime is 97272253201. The next prime is 97272253261. The reversal of 97272253225 is 52235227279.

The square root of 97272253225 is 311885.

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., 35018011161 + 62254242064 = 187131^2 + 249508^2 .

It is not a de Polignac number, because 97272253225 - 2⁵ = 97272253193 is a prime.

Its product of digits (1058400) is a multiple of the sum of its prime divisors (98).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1451824642 + ... + 1451824708.

Almost surely, 2^97272253225 is an apocalyptic number.

97272253225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

97272253225 is the 311885-th square number.

97272253225 is the 155943-rd centered octagonal number.

It is an amenable number.

97272253225 is a deficient number, since it is larger than the sum of its proper divisors (53485205102).

97272253225 is an frugal number, since it uses more digits than its factorization.

97272253225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 98 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 46.

The spelling of 97272253225 in words is "ninety-seven billion, two hundred seventy-two million, two hundred fifty-three thousand, two hundred twenty-five".