39613338961 has 9 divisors (see below), whose sum is σ = 46082443611. Its totient is φ = 33953096352.

The previous prime is 39613338929. The next prime is 39613339027. The reversal of 39613338961 is 16983331693.

The square root of 39613338961 is 199031.

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

It can be written as a sum of positive squares in only one way, i.e., 15481580625 + 24131758336 = 124425^2 + 155344^2 .

It is not a de Polignac number, because 39613338961 - 2⁵ = 39613338929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39613338899 and 39613338908.

It is not an unprimeable number, because it can be changed into a prime (39613338901) 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, 1379001 + ... + 1407433.

Almost surely, 2^39613338961 is an apocalyptic number.

39613338961 is the 199031-st square number.

39613338961 is the 99516-th centered octagonal number.

It is an amenable number.

39613338961 is a deficient number, since it is larger than the sum of its proper divisors (6469104650).

39613338961 is an frugal number, since it uses more digits than its factorization.

39613338961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56880 (or 28440 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 52.

The spelling of 39613338961 in words is "thirty-nine billion, six hundred thirteen million, three hundred thirty-eight thousand, nine hundred sixty-one".