91799910225 has 45 divisors (see below), whose sum is σ = 170070426273. Its totient is φ = 48952680480.

The previous prime is 91799910203. The next prime is 91799910233. The reversal of 91799910225 is 52201999719.

The square root of 91799910225 is 302985.

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 26762669649 + 65037240576 = 163593^2 + 255024^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 91799910225 - 2⁵ = 91799910193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13630959 + ... + 13637691.

Almost surely, 2^91799910225 is an apocalyptic number.

91799910225 is the 302985-th square number.

91799910225 is the 151493-rd centered octagonal number.

It is an amenable number.

91799910225 is a deficient number, since it is larger than the sum of its proper divisors (78270516048).

91799910225 is an frugal number, since it uses more digits than its factorization.

91799910225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13488 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 91799910225 in words is "ninety-one billion, seven hundred ninety-nine million, nine hundred ten thousand, two hundred twenty-five".