36908173225 has 81 divisors (see below), whose sum is σ = 58635479511. Its totient is φ = 22961584800.

The previous prime is 36908173171. The next prime is 36908173249. The reversal of 36908173225 is 52237180963.

The square root of 36908173225 is 192115.

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

36908173225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13286942361 + 23621230864 = 115269^2 + 153692^2 .

It is not a de Polignac number, because 36908173225 - 2⁷ = 36908173097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73964026 + ... + 73964524.

Almost surely, 2^36908173225 is an apocalyptic number.

36908173225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36908173225 is the 192115-th square number.

36908173225 is the 96058-th centered octagonal number.

It is an amenable number.

36908173225 is a deficient number, since it is larger than the sum of its proper divisors (21727306286).

36908173225 is an equidigital number, since it uses as much as digits as its factorization.

36908173225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 36908173225 in words is "thirty-six billion, nine hundred eight million, one hundred seventy-three thousand, two hundred twenty-five".