37413230625 has 45 divisors (see below), whose sum is σ = 67556244613. Its totient is φ = 19945986000.

The previous prime is 37413230599. The next prime is 37413230639. The reversal of 37413230625 is 52603231473.

The square root of 37413230625 is 193425.

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

37413230625 is a `hidden beast` number, since 3 + 7 + 4 + 1 + 3 + 23 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2933197281 + 34480033344 = 54159^2 + 185688^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 37413230625 - 2³¹ = 35265746977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37413230625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14505586 + ... + 14508164.

Almost surely, 2^37413230625 is an apocalyptic number.

37413230625 is the 193425-th square number.

37413230625 is the 96713-rd centered octagonal number.

It is an amenable number.

37413230625 is a deficient number, since it is larger than the sum of its proper divisors (30143013988).

37413230625 is an frugal number, since it uses more digits than its factorization.

37413230625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Multiplying 37413230625 by its sum of digits (36), we get a square (1346876302500 = 1160550²).

The spelling of 37413230625 in words is "thirty-seven billion, four hundred thirteen million, two hundred thirty thousand, six hundred twenty-five".