807815225961 has 40 divisors (see below), whose sum is σ = 1212231820800. Its totient is φ = 536094780480.

The previous prime is 807815225947. The next prime is 807815225993. The reversal of 807815225961 is 169522518708.

807815225961 is a `hidden beast` number, since 8 + 0 + 7 + 8 + 1 + 522 + 59 + 61 = 666.

It is not a de Polignac number, because 807815225961 - 2³⁸ = 532937319017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 807815225898 and 807815225907.

It is not an unprimeable number, because it can be changed into a prime (807815224961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23631600 + ... + 23665758.

It is an arithmetic number, because the mean of its divisors is an integer number (30305795520).

Almost surely, 2^807815225961 is an apocalyptic number.

807815225961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

807815225961 is a deficient number, since it is larger than the sum of its proper divisors (404416594839).

807815225961 is a wasteful number, since it uses less digits than its factorization.

807815225961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35491 (or 35482 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 807815225961 in words is "eight hundred seven billion, eight hundred fifteen million, two hundred twenty-five thousand, nine hundred sixty-one".