807867512961 has 16 divisors (see below), whose sum is σ = 1081992314880. Its totient is φ = 536161897040.

The previous prime is 807867512941. The next prime is 807867513001. The reversal of 807867512961 is 169215768708.

It is a cyclic number.

It is not a de Polignac number, because 807867512961 - 2²² = 807863318657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 807867512895 and 807867512904.

It is not an unprimeable number, because it can be changed into a prime (807867512941) 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 15 ways as a sum of consecutive naturals, for example, 2213056 + ... + 2552126.

It is an arithmetic number, because the mean of its divisors is an integer number (67624519680).

Almost surely, 2^807867512961 is an apocalyptic number.

It is an amenable number.

807867512961 is a deficient number, since it is larger than the sum of its proper divisors (274124801919).

807867512961 is a wasteful number, since it uses less digits than its factorization.

807867512961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342636.

The product of its (nonzero) digits is 10160640, while the sum is 60.

The spelling of 807867512961 in words is "eight hundred seven billion, eight hundred sixty-seven million, five hundred twelve thousand, nine hundred sixty-one".