5159571417961 has 9 divisors (see below), whose sum is σ = 5445465799293. Its totient is φ = 4887974141100.

The previous prime is 5159571417943. The next prime is 5159571417977. The reversal of 5159571417961 is 1697141759515.

It is a happy number.

The square root of 5159571417961 is 2271469.

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

It is not a de Polignac number, because 5159571417961 - 2¹¹ = 5159571415913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5159571417961.

It is not an unprimeable number, because it can be changed into a prime (5159571417991) 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, 43098136 + ... + 43217686.

It is an arithmetic number, because the mean of its divisors is an integer number (605051755477).

Almost surely, 2^{5159571417961} is an apocalyptic number.

5159571417961 is the 2271469-th square number.

5159571417961 is the 1135735-th centered octagonal number.

It is an amenable number.

5159571417961 is a deficient number, since it is larger than the sum of its proper divisors (285894381332).

5159571417961 is an frugal number, since it uses more digits than its factorization.

5159571417961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239140 (or 119570 counting only the distinct ones).

The product of its digits is 11907000, while the sum is 61.

The spelling of 5159571417961 in words is "five trillion, one hundred fifty-nine billion, five hundred seventy-one million, four hundred seventeen thousand, nine hundred sixty-one".