10513410523 has 32 divisors (see below), whose sum is σ = 13228392960. Its totient is φ = 8117141760.

The previous prime is 10513410499. The next prime is 10513410529. The reversal of 10513410523 is 32501431501.

It is a happy number.

It is not a de Polignac number, because 10513410523 - 2⁵ = 10513410491 is a prime.

It is a super-2 number, since 2×10513410523² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10513410529) 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, 4312861 + ... + 4315297.

It is an arithmetic number, because the mean of its divisors is an integer number (413387280).

Almost surely, 2^10513410523 is an apocalyptic number.

10513410523 is a deficient number, since it is larger than the sum of its proper divisors (2714982437).

10513410523 is a wasteful number, since it uses less digits than its factorization.

10513410523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947.

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 10513410523 in words is "ten billion, five hundred thirteen million, four hundred ten thousand, five hundred twenty-three".