36147515625 has 175 divisors, whose sum is σ = 73121349191. Its totient is φ = 17795700000.

The previous prime is 36147515587. The next prime is 36147515627. The reversal of 36147515625 is 52651574163.

The square root of 36147515625 is 190125.

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

36147515625 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 7 + 5 + 15 + 625 = 666.

It can be written as a sum of positive squares in 17 ways, for example, as 6050817369 + 30096698256 = 77787^2 + 173484^2 .

It is not a de Polignac number, because 36147515625 - 2²⁵ = 36113961193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (756000) is a multiple of the sum of its prime divisors (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36147515627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 2780578119 + ... + 2780578131.

Almost surely, 2^36147515625 is an apocalyptic number.

36147515625 is the 190125-th square number.

36147515625 is the 95063-rd centered octagonal number.

It is an amenable number.

36147515625 is an abundant number, since it is smaller than the sum of its proper divisors (36973833566).

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

36147515625 is an frugal number, since it uses more digits than its factorization.

36147515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 21 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 36147515625 in words is "thirty-six billion, one hundred forty-seven million, five hundred fifteen thousand, six hundred twenty-five".