91026196785225 has 405 divisors, whose sum is σ = 187086318135717. Its totient is φ = 43733034933120.

The previous prime is 91026196785217. The next prime is 91026196785281. The reversal of 91026196785225 is 52258769162019.

The square root of 91026196785225 is 9540765.

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

91026196785225 is a `hidden beast` number, since 9 + 1 + 0 + 2 + 619 + 6 + 7 + 8 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23462136875529 + 67564059909696 = 4843773^2 + 8219736^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 91026196785225 - 2³ = 91026196785217 is a prime.

It is a super-2 number, since 2×91026196785225² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 262323333502 + ... + 262323333848.

Almost surely, 2^{91026196785225} is an apocalyptic number.

91026196785225 is the 9540765-th square number.

91026196785225 is the 4770383-rd centered octagonal number.

It is an amenable number.

91026196785225 is an abundant number, since it is smaller than the sum of its proper divisors (96060121350492).

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

91026196785225 is an equidigital number, since it uses as much as digits as its factorization.

91026196785225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 91026196785225 in words is "ninety-one trillion, twenty-six billion, one hundred ninety-six million, seven hundred eighty-five thousand, two hundred twenty-five".