813142953 has 24 divisors (see below), whose sum is σ = 1343417088. Its totient is φ = 464277312.

The previous prime is 813142937. The next prime is 813142961. The reversal of 813142953 is 359241318.

It is not a de Polignac number, because 813142953 - 2⁴ = 813142937 is a prime.

It is a super-2 number, since 2×813142953² = 1322402924027120418, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (813142933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85776 + ... + 94782.

It is an arithmetic number, because the mean of its divisors is an integer number (55975712).

Almost surely, 2^813142953 is an apocalyptic number.

It is an amenable number.

813142953 is a deficient number, since it is larger than the sum of its proper divisors (530274135).

813142953 is a wasteful number, since it uses less digits than its factorization.

813142953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10453 (or 10450 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 813142953 is about 28515.6615388807. The cubic root of 813142953 is about 933.3738606410.

The spelling of 813142953 in words is "eight hundred thirteen million, one hundred forty-two thousand, nine hundred fifty-three".