10012513 has 8 divisors (see below), whose sum is σ = 11676800. Its totient is φ = 8581860.

The previous prime is 10012501. The next prime is 10012517. The reversal of 10012513 is 31521001.

10012513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012513 - 2⁹ = 10012001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012493 and 10012502.

It is not an unprimeable number, because it can be changed into a prime (10012517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14253 + ... + 14938.

It is an arithmetic number, because the mean of its divisors is an integer number (1459600).

Almost surely, 2^10012513 is an apocalyptic number.

It is an amenable number.

10012513 is a deficient number, since it is larger than the sum of its proper divisors (1664287).

10012513 is an frugal number, since it uses more digits than its factorization.

10012513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29212 (or 29198 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10012513 is about 3164.2555206557. The cubic root of 10012513 is about 215.5332930189.

Adding to 10012513 its reverse (31521001), we get a palindrome (41533514).

The spelling of 10012513 in words is "ten million, twelve thousand, five hundred thirteen".