10005060513 has 32 divisors (see below), whose sum is σ = 15931109376. Its totient is φ = 5460890688.

The previous prime is 10005060511. The next prime is 10005060521. The reversal of 10005060513 is 31506050001.

It is a happy number.

It is not a de Polignac number, because 10005060513 - 2¹ = 10005060511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10005060513.

It is not an unprimeable number, because it can be changed into a prime (10005060511) 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, 336895 + ... + 365387.

It is an arithmetic number, because the mean of its divisors is an integer number (497847168).

Almost surely, 2^10005060513 is an apocalyptic number.

It is an amenable number.

10005060513 is a deficient number, since it is larger than the sum of its proper divisors (5926048863).

10005060513 is a wasteful number, since it uses less digits than its factorization.

10005060513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29253.

The product of its (nonzero) digits is 450, while the sum is 21.

The spelling of 10005060513 in words is "ten billion, five million, sixty thousand, five hundred thirteen".