6331225761 has 63 divisors (see below), whose sum is σ = 11068582563. Its totient is φ = 3609249840.

The previous prime is 6331225753. The next prime is 6331225763. The reversal of 6331225761 is 1675221336.

The square root of 6331225761 is 79569.

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

6331225761 is a `hidden beast` number, since 63 + 3 + 1 + 22 + 576 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30041361 + 6301184400 = 5481^2 + 79380^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 6331225761 - 2³ = 6331225753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6331225763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 15038331 + ... + 15038751.

Almost surely, 2^6331225761 is an apocalyptic number.

6331225761 is the 79569-th square number.

6331225761 is the 39785-th centered octagonal number.

It is an amenable number.

6331225761 is a deficient number, since it is larger than the sum of its proper divisors (4737356802).

6331225761 is an frugal number, since it uses more digits than its factorization.

6331225761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 431 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The cubic root of 6331225761 is about 1849.9611154233.

Multiplying 6331225761 by its sum of digits (36), we get a square (227924127396 = 477414²).

The spelling of 6331225761 in words is "six billion, three hundred thirty-one million, two hundred twenty-five thousand, seven hundred sixty-one".