100053513 has 24 divisors (see below), whose sum is σ = 169635648. Its totient is φ = 55626912.

The previous prime is 100053511. The next prime is 100053539. The reversal of 100053513 is 315350001.

100053513 = 1912² + 1913² + ... + 1938².

It is a happy number.

100053513 is a `hidden beast` number, since 100 + 0 + 53 + 513 = 666.

It is not a de Polignac number, because 100053513 - 2¹ = 100053511 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100053511) 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, 19131 + ... + 23792.

It is an arithmetic number, because the mean of its divisors is an integer number (7068152).

Almost surely, 2^100053513 is an apocalyptic number.

It is an amenable number.

100053513 is a deficient number, since it is larger than the sum of its proper divisors (69582135).

100053513 is a wasteful number, since it uses less digits than its factorization.

100053513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42973 (or 42970 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 100053513 is about 10002.6752921406. The cubic root of 100053513 is about 464.2416637114.

The spelling of 100053513 in words is "one hundred million, fifty-three thousand, five hundred thirteen".