81262054225 has 81 divisors (see below), whose sum is σ = 113900097297. Its totient is φ = 57469104000.

The previous prime is 81262054183. The next prime is 81262054241. The reversal of 81262054225 is 52245026218.

The square root of 81262054225 is 285065.

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 444661569 + 80817392656 = 21087^2 + 284284^2 .

It is a de Polignac number, because none of the positive numbers 2^k-81262054225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1113178789 + ... + 1113178861.

Almost surely, 2^81262054225 is an apocalyptic number.

81262054225 is the 285065-th square number.

81262054225 is the 142533-rd centered octagonal number.

It is an amenable number.

81262054225 is a deficient number, since it is larger than the sum of its proper divisors (32638043072).

81262054225 is an equidigital number, since it uses as much as digits as its factorization.

81262054225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 81262054225 in words is "eighty-one billion, two hundred sixty-two million, fifty-four thousand, two hundred twenty-five".