39001905121 has 9 divisors (see below), whose sum is σ = 41434656249. Its totient is φ = 36704515584.

The previous prime is 39001905109. The next prime is 39001905157. The reversal of 39001905121 is 12150910093.

It is a happy number.

The square root of 39001905121 is 197489.

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

39001905121 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 4 ways, for example, as 726895521 + 38275009600 = 26961^2 + 195640^2 .

It is not a de Polignac number, because 39001905121 - 2²⁷ = 38867687393 is a prime.

It is a super-2 number, since 2×39001905121² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39001905181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3351505 + ... + 3363121.

Almost surely, 2^39001905121 is an apocalyptic number.

39001905121 is the 197489-th square number.

39001905121 is the 98745-th centered octagonal number.

It is an amenable number.

39001905121 is a deficient number, since it is larger than the sum of its proper divisors (2432751128).

39001905121 is an frugal number, since it uses more digits than its factorization.

39001905121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23268 (or 11634 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 31.

The spelling of 39001905121 in words is "thirty-nine billion, one million, nine hundred five thousand, one hundred twenty-one".