813048090625 has 24 divisors (see below), whose sum is σ = 1016529562944. Its totient is φ = 650256390000.

The previous prime is 813048090619. The next prime is 813048090683. The reversal of 813048090625 is 526090840318.

It is not a de Polignac number, because 813048090625 - 2¹⁷ = 813047959553 is a prime.

It is a super-2 number, since 2×813048090625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11737342 + ... + 11806408.

It is an arithmetic number, because the mean of its divisors is an integer number (42355398456).

Almost surely, 2^813048090625 is an apocalyptic number.

It is an amenable number.

813048090625 is a deficient number, since it is larger than the sum of its proper divisors (203481472319).

813048090625 is an frugal number, since it uses more digits than its factorization.

813048090625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72859 (or 72839 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 813048090625 in words is "eight hundred thirteen billion, forty-eight million, ninety thousand, six hundred twenty-five".