37665105625 has 45 divisors (see below), whose sum is σ = 54800026347. Its totient is φ = 25804212000.

The previous prime is 37665105619. The next prime is 37665105629. The reversal of 37665105625 is 52650156673.

The square root of 37665105625 is 194075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 36752340681 + 912764944 = 191709^2 + 30212^2 .

It is not a de Polignac number, because 37665105625 - 2²¹ = 37663008473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37665105629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33962571 + ... + 33963679.

Almost surely, 2^37665105625 is an apocalyptic number.

37665105625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

37665105625 is the 194075-th square number.

37665105625 is the 97038-th centered octagonal number.

It is an amenable number.

37665105625 is a deficient number, since it is larger than the sum of its proper divisors (17134920722).

37665105625 is an frugal number, since it uses more digits than its factorization.

37665105625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 37665105625 in words is "thirty-seven billion, six hundred sixty-five million, one hundred five thousand, six hundred twenty-five".