810100053 has 48 divisors (see below), whose sum is σ = 1362192000. Its totient is φ = 454367232.

The previous prime is 810100033. The next prime is 810100063. The reversal of 810100053 is 350001018.

It is a happy number.

It is not a de Polignac number, because 810100053 - 2⁵ = 810100021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 810099999 and 810100035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810100013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623198 + ... + 1623696.

It is an arithmetic number, because the mean of its divisors is an integer number (28379000).

Almost surely, 2^810100053 is an apocalyptic number.

It is an amenable number.

810100053 is a deficient number, since it is larger than the sum of its proper divisors (552091947).

810100053 is a wasteful number, since it uses less digits than its factorization.

810100053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 810100053 is about 28462.2566392758. The cubic root of 810100053 is about 932.2081314324.

The spelling of 810100053 in words is "eight hundred ten million, one hundred thousand, fifty-three".