37959118561 has 27 divisors (see below), whose sum is σ = 47836805913. Its totient is φ = 30019560480.

The previous prime is 37959118513. The next prime is 37959118577. The reversal of 37959118561 is 16581195973.

The square root of 37959118561 is 194831.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1193357025 + 36765761536 = 34545^2 + 191744^2 .

It is not a de Polignac number, because 37959118561 - 2¹¹ = 37959116513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37959118501) 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 26 ways as a sum of consecutive naturals, for example, 17728551 + ... + 17730691.

Almost surely, 2^37959118561 is an apocalyptic number.

37959118561 is the 194831-st square number.

37959118561 is the 97416-th centered octagonal number.

It is an amenable number.

37959118561 is a deficient number, since it is larger than the sum of its proper divisors (9877687352).

37959118561 is an frugal number, since it uses more digits than its factorization.

37959118561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 2161 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 55.

It can be divided in two parts, 37959 and 118561, that added together give a triangular number (156520 = T₅₅₉).

The spelling of 37959118561 in words is "thirty-seven billion, nine hundred fifty-nine million, one hundred eighteen thousand, five hundred sixty-one".