59185644961 has 9 divisors (see below), whose sum is σ = 61304212281. Its totient is φ = 57137948784.

The previous prime is 59185644937. The next prime is 59185644971. The reversal of 59185644961 is 16944658195.

The square root of 59185644961 is 243281.

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 10574214561 + 48611430400 = 102831^2 + 220480^2 .

It is not a de Polignac number, because 59185644961 - 2⁵ = 59185644929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 59185644896 and 59185644905.

It is not an unprimeable number, because it can be changed into a prime (59185644971) 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, 7050955 + ... + 7059343.

Almost surely, 2^59185644961 is an apocalyptic number.

59185644961 is the 243281-st square number.

59185644961 is the 121641-st centered octagonal number.

It is an amenable number.

59185644961 is a deficient number, since it is larger than the sum of its proper divisors (2118567320).

59185644961 is an frugal number, since it uses more digits than its factorization.

59185644961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16836 (or 8418 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 58.

The spelling of 59185644961 in words is "fifty-nine billion, one hundred eighty-five million, six hundred forty-four thousand, nine hundred sixty-one".