37515625 has 35 divisors (see below), whose sum is σ = 54706331. Its totient is φ = 25725000.

The previous prime is 37515613. The next prime is 37515641. The reversal of 37515625 is 52651573.

The square root of 37515625 is 6125.

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

37515625 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 3 ways, for example, as 32867289 + 4648336 = 5733^2 + 2156^2 .

It is a tau number, because it is divible by the number of its divisors (35).

It is not a de Polignac number, because 37515625 - 2¹³ = 37507433 is a prime.

It is a Duffinian number.

Its product of digits (31500) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 5359372 + ... + 5359378.

Almost surely, 2^37515625 is an apocalyptic number.

37515625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

37515625 is the 6125-th square number.

37515625 is the 3063-rd centered octagonal number.

It is an amenable number.

37515625 is a deficient number, since it is larger than the sum of its proper divisors (17190706).

37515625 is an frugal number, since it uses more digits than its factorization.

37515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 12 counting only the distinct ones).

The product of its digits is 31500, while the sum is 34.

The cubic root of 37515625 is about 334.7629569852.

The spelling of 37515625 in words is "thirty-seven million, five hundred fifteen thousand, six hundred twenty-five".