63351586715641 has 27 divisors (see below), whose sum is σ = 75538698275853. Its totient is φ = 52975026377280.

The previous prime is 63351586715623. The next prime is 63351586715689. The reversal of 63351586715641 is 14651768515336.

The square root of 63351586715641 is 7959371.

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 37512623810025 + 25838962905616 = 6124755^2 + 5083204^2 .

It is not a de Polignac number, because 63351586715641 - 2⁵ = 63351586715609 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 63351586715641.

It is not an unprimeable number, because it can be changed into a prime (63351586715441) 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, 2284325611 + ... + 2284353343.

Almost surely, 2^{63351586715641} is an apocalyptic number.

63351586715641 is the 7959371-st square number.

63351586715641 is the 3979686-th centered octagonal number.

It is an amenable number.

63351586715641 is a deficient number, since it is larger than the sum of its proper divisors (12187111560212).

63351586715641 is an frugal number, since it uses more digits than its factorization.

63351586715641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55562 (or 27781 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 61.

The spelling of 63351586715641 in words is "sixty-three trillion, three hundred fifty-one billion, five hundred eighty-six million, seven hundred fifteen thousand, six hundred forty-one".