523004013 has 32 divisors (see below), whose sum is σ = 932121600. Its totient is φ = 283128048.

The previous prime is 523004011. The next prime is 523004021. The reversal of 523004013 is 310400325.

It is not a de Polignac number, because 523004013 - 2¹ = 523004011 is a prime.

It is a super-2 number, since 2×523004013² = 547066395228208338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523004011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69231 + ... + 76412.

It is an arithmetic number, because the mean of its divisors is an integer number (29128800).

Almost surely, 2^523004013 is an apocalyptic number.

It is an amenable number.

523004013 is a deficient number, since it is larger than the sum of its proper divisors (409117587).

523004013 is a wasteful number, since it uses less digits than its factorization.

523004013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145678 (or 145672 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 523004013 is about 22869.2809900093. The cubic root of 523004013 is about 805.6906809760.

Adding to 523004013 its reverse (310400325), we get a palindrome (833404338).

The spelling of 523004013 in words is "five hundred twenty-three million, four thousand, thirteen".