12513313760805 has 1152 divisors, whose sum is σ = 29813431173120. Its totient is φ = 4934058624000.

The previous prime is 12513313760797. The next prime is 12513313760887. The reversal of 12513313760805 is 50806731331521.

12513313760805 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 3 + 3 + 1 + 37 + 608 + 0 + 5 = 666.

It is not a de Polignac number, because 12513313760805 - 2³ = 12513313760797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 82869627480 + ... + 82869627630.

It is an arithmetic number, because the mean of its divisors is an integer number (25879714560).

Almost surely, 2^{12513313760805} is an apocalyptic number.

12513313760805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12513313760805 is an abundant number, since it is smaller than the sum of its proper divisors (17300117412315).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12513313760805 is a wasteful number, since it uses less digits than its factorization.

12513313760805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 12513313760805 in words is "twelve trillion, five hundred thirteen billion, three hundred thirteen million, seven hundred sixty thousand, eight hundred five".