12630416513 has 16 divisors (see below), whose sum is σ = 14893331712. Its totient is φ = 10559808000.

The previous prime is 12630416507. The next prime is 12630416599. The reversal of 12630416513 is 31561403621.

It is a cyclic number.

It is not a de Polignac number, because 12630416513 - 2¹⁴ = 12630400129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12630416513.

It is not an unprimeable number, because it can be changed into a prime (12630416413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124208 + ... + 201713.

It is an arithmetic number, because the mean of its divisors is an integer number (930833232).

Almost surely, 2^12630416513 is an apocalyptic number.

12630416513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12630416513 is a deficient number, since it is larger than the sum of its proper divisors (2262915199).

12630416513 is a wasteful number, since it uses less digits than its factorization.

12630416513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326216.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 12630416513 in words is "twelve billion, six hundred thirty million, four hundred sixteen thousand, five hundred thirteen".