815264332121331 has 32 divisors (see below), whose sum is σ = 1225001033418240. Its totient is φ = 535771029074400.

The previous prime is 815264332121263. The next prime is 815264332121489. The reversal of 815264332121331 is 133121233462518.

It is a happy number.

815264332121331 is a `hidden beast` number, since 8 + 1 + 5 + 264 + 3 + 32 + 1 + 21 + 331 = 666.

815264332121331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 815264332121331 - 2¹³ = 815264332113139 is a prime.

It is a super-2 number, since 2×815264332121331² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (815264332121531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20807385 + ... + 45425498.

It is an arithmetic number, because the mean of its divisors is an integer number (38281282294320).

Almost surely, 2^{815264332121331} is an apocalyptic number.

815264332121331 is a deficient number, since it is larger than the sum of its proper divisors (409736701296909).

815264332121331 is a wasteful number, since it uses less digits than its factorization.

815264332121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66239384 (or 66239378 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

Adding to 815264332121331 its reverse (133121233462518), we get a palindrome (948385565583849).

The spelling of 815264332121331 in words is "eight hundred fifteen trillion, two hundred sixty-four billion, three hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-one".