6295487464561 has 27 divisors (see below), whose sum is σ = 6874948230339. Its totient is φ = 5763579856128.

The previous prime is 6295487464517. The next prime is 6295487464571. The reversal of 6295487464561 is 1654647845926.

The square root of 6295487464561 is 2509081.

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

It can be written as a sum of positive squares in 13 ways, for example, as 25271142961 + 6270216321600 = 158969^2 + 2504040^2 .

It is not a de Polignac number, because 6295487464561 - 2²³ = 6295479075953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6295487464501) 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, 1578209955 + ... + 1578213943.

Almost surely, 2^{6295487464561} is an apocalyptic number.

6295487464561 is the 2509081-st square number.

6295487464561 is the 1254541-st centered octagonal number.

It is an amenable number.

6295487464561 is a deficient number, since it is larger than the sum of its proper divisors (579460765778).

6295487464561 is an frugal number, since it uses more digits than its factorization.

6295487464561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8086 (or 4043 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 67.

The spelling of 6295487464561 in words is "six trillion, two hundred ninety-five billion, four hundred eighty-seven million, four hundred sixty-four thousand, five hundred sixty-one".