36345516025 has 81 divisors (see below), whose sum is σ = 56905392141. Its totient is φ = 22950607680.

The previous prime is 36345516023. The next prime is 36345516029. The reversal of 36345516025 is 52061554363.

The square root of 36345516025 is 190645.

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 9368110521 + 26977405504 = 96789^2 + 164248^2 .

It is not a de Polignac number, because 36345516025 - 2¹ = 36345516023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36345516023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 86743266 + ... + 86743684.

Almost surely, 2^36345516025 is an apocalyptic number.

36345516025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36345516025 is the 190645-th square number.

36345516025 is the 95323-rd centered octagonal number.

It is an amenable number.

36345516025 is a deficient number, since it is larger than the sum of its proper divisors (20559876116).

36345516025 is an equidigital number, since it uses as much as digits as its factorization.

36345516025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 36345516025 in words is "thirty-six billion, three hundred forty-five million, five hundred sixteen thousand, twenty-five".