815387806961 has 32 divisors (see below), whose sum is σ = 1030908480000. Its totient is φ = 640811666880.

The previous prime is 815387806951. The next prime is 815387806993. The reversal of 815387806961 is 169608783518.

It is not a de Polignac number, because 815387806961 - 2³⁴ = 798207937777 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 815387806894 and 815387806903.

It is not an unprimeable number, because it can be changed into a prime (815387806951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50756 + ... + 1278026.

It is an arithmetic number, because the mean of its divisors is an integer number (32215890000).

Almost surely, 2^815387806961 is an apocalyptic number.

It is an amenable number.

815387806961 is a deficient number, since it is larger than the sum of its proper divisors (215520673039).

815387806961 is a wasteful number, since it uses less digits than its factorization.

815387806961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227454 (or 1227440 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 62.

The spelling of 815387806961 in words is "eight hundred fifteen billion, three hundred eighty-seven million, eight hundred six thousand, nine hundred sixty-one".