2037168225 has 135 divisors (see below), whose sum is σ = 4077663337. Its totient is φ = 1005246720.

The previous prime is 2037168197. The next prime is 2037168233. The reversal of 2037168225 is 5228617302.

The square root of 2037168225 is 45135.

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

2037168225 is a `hidden beast` number, since 2 + 0 + 371 + 68 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47651409 + 1989516816 = 6903^2 + 44604^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2037168225 - 2⁷ = 2037168097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2037168225.

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, 34528246 + ... + 34528304.

Almost surely, 2^2037168225 is an apocalyptic number.

2037168225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2037168225 is the 45135-th square number.

2037168225 is the 22568-th centered octagonal number.

It is an amenable number.

2037168225 is an abundant number, since it is smaller than the sum of its proper divisors (2040495112).

2037168225 is an equidigital number, since it uses as much as digits as its factorization.

2037168225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 2037168225 is about 1267.6780324835.

Multiplying 2037168225 by its sum of digits (36), we get a square (73338056100 = 270810²).

The spelling of 2037168225 in words is "two billion, thirty-seven million, one hundred sixty-eight thousand, two hundred twenty-five".