10513409665 has 32 divisors (see below), whose sum is σ = 14075804160. Its totient is φ = 7474272000.

The previous prime is 10513409653. The next prime is 10513409681. The reversal of 10513409665 is 56690431501.

It is a happy number.

It is not a de Polignac number, because 10513409665 - 2⁵ = 10513409633 is a prime.

It is a super-2 number, since 2×10513409665² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426867 + ... + 450823.

It is an arithmetic number, because the mean of its divisors is an integer number (439868880).

Almost surely, 2^10513409665 is an apocalyptic number.

It is an amenable number.

10513409665 is a deficient number, since it is larger than the sum of its proper divisors (3562394495).

10513409665 is a wasteful number, since it uses less digits than its factorization.

10513409665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24153.

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 10513409665 in words is "ten billion, five hundred thirteen million, four hundred nine thousand, six hundred sixty-five".