36081002500 has 135 divisors (see below), whose sum is σ = 82345063801. Its totient is φ = 13828360000.

The previous prime is 36081002479. The next prime is 36081002501. The reversal of 36081002500 is 520018063.

It is a happy number.

The square root of 36081002500 is 189950.

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

It can be written as a sum of positive squares in 7 ways, for example, as 26985947076 + 9095055424 = 164274^2 + 95368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36081002501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 275427435 + ... + 275427565.

Almost surely, 2^36081002500 is an apocalyptic number.

36081002500 is the 189950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36081002500

36081002500 is an abundant number, since it is smaller than the sum of its proper divisors (46264061301).

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

36081002500 is an equidigital number, since it uses as much as digits as its factorization.

36081002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 36081002500 by its sum of digits (25), we get a square (902025062500 = 949750²).

36081002500 divided by its sum of digits (25) gives a square (1443240100 = 37990²).

The spelling of 36081002500 in words is "thirty-six billion, eighty-one million, two thousand, five hundred".