10523664013 has 16 divisors (see below), whose sum is σ = 10758723840. Its totient is φ = 10291470336.

The previous prime is 10523663977. The next prime is 10523664029. The reversal of 10523664013 is 31046632501.

10523664013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10523664013 - 2¹⁷ = 10523532941 is a prime.

It is a super-2 number, since 2×10523664013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523664413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4482706 + ... + 4485052.

It is an arithmetic number, because the mean of its divisors is an integer number (672420240).

Almost surely, 2^10523664013 is an apocalyptic number.

It is an amenable number.

10523664013 is a deficient number, since it is larger than the sum of its proper divisors (235059827).

10523664013 is a wasteful number, since it uses less digits than its factorization.

10523664013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916.

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 10523664013 in words is "ten billion, five hundred twenty-three million, six hundred sixty-four thousand, thirteen".