10005013515 has 32 divisors (see below), whose sum is σ = 18594809856. Its totient is φ = 4498738560.

The previous prime is 10005013507. The next prime is 10005013517. The reversal of 10005013515 is 51531050001.

It is not a de Polignac number, because 10005013515 - 2³ = 10005013507 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10005013491 and 10005013500.

It is not an unprimeable number, because it can be changed into a prime (10005013517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774627 + ... + 787436.

It is an arithmetic number, because the mean of its divisors is an integer number (581087808).

Almost surely, 2^10005013515 is an apocalyptic number.

10005013515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10005013515 is a deficient number, since it is larger than the sum of its proper divisors (8589796341).

10005013515 is a wasteful number, since it uses less digits than its factorization.

10005013515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562139.

The product of its (nonzero) digits is 375, while the sum is 21.

Adding to 10005013515 its reverse (51531050001), we get a palindrome (61536063516).

The spelling of 10005013515 in words is "ten billion, five million, thirteen thousand, five hundred fifteen".