36125990040100 has 81 divisors (see below), whose sum is σ = 78601196838801. Its totient is φ = 14412193341600.

The previous prime is 36125990040053. The next prime is 36125990040187. The reversal of 36125990040100 is 104009952163.

The square root of 36125990040100 is 6010490.

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

It can be written as a sum of positive squares in only one way, i.e., 13005356414436 + 23120633625664 = 3606294^2 + 4808392^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37204932615 + ... + 37204933585.

Almost surely, 2^{36125990040100} is an apocalyptic number.

36125990040100 is the 6010490-th square number.

It is an amenable number.

36125990040100 is an abundant number, since it is smaller than the sum of its proper divisors (42475206798701).

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

36125990040100 is an frugal number, since it uses more digits than its factorization.

36125990040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

Adding to 36125990040100 its reverse (104009952163), we get a palindrome (36229999992263).

The spelling of 36125990040100 in words is "thirty-six trillion, one hundred twenty-five billion, nine hundred ninety million, forty thousand, one hundred".