10523413305513 has 24 divisors (see below), whose sum is σ = 16101341568000. Its totient is φ = 6600173399424.

The previous prime is 10523413305499. The next prime is 10523413305539. The reversal of 10523413305513 is 31550331432501.

10523413305513 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 3 + 4 + 133 + 0 + 5 + 513 = 666.

It is not a de Polignac number, because 10523413305513 - 2²⁰ = 10523412256937 is a prime.

It is a super-2 number, since 2×10523413305513² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10523413305563) 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, 13968193 + ... + 14702286.

It is an arithmetic number, because the mean of its divisors is an integer number (670889232000).

Almost surely, 2^{10523413305513} is an apocalyptic number.

It is an amenable number.

10523413305513 is a deficient number, since it is larger than the sum of its proper divisors (5577928262487).

10523413305513 is a wasteful number, since it uses less digits than its factorization.

10523413305513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28672901 (or 28672898 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 10523413305513 in words is "ten trillion, five hundred twenty-three billion, four hundred thirteen million, three hundred five thousand, five hundred thirteen".