59398950961 has 27 divisors (see below), whose sum is σ = 71090238177. Its totient is φ = 49484705760.

The previous prime is 59398950959. The next prime is 59398950967. The reversal of 59398950961 is 16905989395.

The square root of 59398950961 is 243719.

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 17642480625 + 41756470336 = 132825^2 + 204344^2 .

It is not a de Polignac number, because 59398950961 - 2¹ = 59398950959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 59398950893 and 59398950902.

It is not an unprimeable number, because it can be changed into a prime (59398950967) 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, 63122751 + ... + 63123691.

Almost surely, 2^59398950961 is an apocalyptic number.

59398950961 is the 243719-th square number.

59398950961 is the 121860-th centered octagonal number.

It is an amenable number.

59398950961 is a deficient number, since it is larger than the sum of its proper divisors (11691287216).

59398950961 is an frugal number, since it uses more digits than its factorization.

59398950961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 64.

Multiplying 59398950961 by its sum of digits (64), we get a square (3801532861504 = 1949752²).

The spelling of 59398950961 in words is "fifty-nine billion, three hundred ninety-eight million, nine hundred fifty thousand, nine hundred sixty-one".