76275506952225 has 81 divisors (see below), whose sum is σ = 158924783262297. Its totient is φ = 34868383966080.

The previous prime is 76275506952181. The next prime is 76275506952289. The reversal of 76275506952225 is 52225960557267.

It is a happy number.

The square root of 76275506952225 is 8733585.

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

76275506952225 is a `hidden beast` number, since 7 + 6 + 2 + 7 + 550 + 6 + 9 + 52 + 2 + 25 = 666.

76275506952225 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 676725052689 + 75598781899536 = 822633^2 + 8694756^2 .

It is not a de Polignac number, because 76275506952225 - 2¹⁵ = 76275506919457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 916984837 + ... + 917068013.

Almost surely, 2^{76275506952225} is an apocalyptic number.

76275506952225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76275506952225 is the 8733585-th square number.

76275506952225 is the 4366793-rd centered octagonal number.

It is an amenable number.

76275506952225 is an abundant number, since it is smaller than the sum of its proper divisors (82649276310072).

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

76275506952225 is an frugal number, since it uses more digits than its factorization.

76275506952225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166384 (or 83192 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 63.

The spelling of 76275506952225 in words is "seventy-six trillion, two hundred seventy-five billion, five hundred six million, nine hundred fifty-two thousand, two hundred twenty-five".