39013627795921 has 27 divisors (see below), whose sum is σ = 41585814416467. Its totient is φ = 36593087171840.

The previous prime is 39013627795913. The next prime is 39013627795943. The reversal of 39013627795921 is 12959772631093.

The square root of 39013627795921 is 6246089.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15753842130321 + 23259785665600 = 3969111^2 + 4822840^2 .

It is not a de Polignac number, because 39013627795921 - 2³ = 39013627795913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39013627795991) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48950599095 + ... + 48950599891.

Almost surely, 2^{39013627795921} is an apocalyptic number.

39013627795921 is the 6246089-th square number.

39013627795921 is the 3123045-th centered octagonal number.

It is an amenable number.

39013627795921 is a deficient number, since it is larger than the sum of its proper divisors (2572186620546).

39013627795921 is an frugal number, since it uses more digits than its factorization.

39013627795921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 64.

The spelling of 39013627795921 in words is "thirty-nine trillion, thirteen billion, six hundred twenty-seven million, seven hundred ninety-five thousand, nine hundred twenty-one".