813103625 has 32 divisors (see below), whose sum is σ = 1090672128. Its totient is φ = 602976000.

The previous prime is 813103597. The next prime is 813103637. The reversal of 813103625 is 526301318.

813103625 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 813103625 - 2⁶ = 813103561 is a prime.

It is a super-2 number, since 2×813103625² = 1322275009976281250, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139520 + ... + 145230.

It is an arithmetic number, because the mean of its divisors is an integer number (34083504).

Almost surely, 2^813103625 is an apocalyptic number.

813103625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

813103625 is a deficient number, since it is larger than the sum of its proper divisors (277568503).

813103625 is a wasteful number, since it uses less digits than its factorization.

813103625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 813103625 is about 28514.9719445768. The cubic root of 813103625 is about 933.3588127256.

The spelling of 813103625 in words is "eight hundred thirteen million, one hundred three thousand, six hundred twenty-five".