36950450625 has 135 divisors (see below), whose sum is σ = 73625078527. Its totient is φ = 17838480000.

The previous prime is 36950450597. The next prime is 36950450639. The reversal of 36950450625 is 52605405963.

The square root of 36950450625 is 192225.

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

36950450625 is a `hidden beast` number, since 36 + 9 + 504 + 50 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 35717598081 + 1232852544 = 188991^2 + 35112^2 .

It is not a de Polignac number, because 36950450625 - 2⁷ = 36950450497 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 158585509 + ... + 158585741.

Almost surely, 2^36950450625 is an apocalyptic number.

36950450625 is the 192225-th square number.

36950450625 is the 96113-rd centered octagonal number.

It is an amenable number.

36950450625 is a deficient number, since it is larger than the sum of its proper divisors (36674627902).

36950450625 is an equidigital number, since it uses as much as digits as its factorization.

36950450625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 36950450625 in words is "thirty-six billion, nine hundred fifty million, four hundred fifty thousand, six hundred twenty-five".