13009958452624 has 45 divisors (see below), whose sum is σ = 29322417147627. Its totient is φ = 5575653196512.

The previous prime is 13009958452609. The next prime is 13009958452633. The reversal of 13009958452624 is 42625485990031.

It is a happy number.

The square root of 13009958452624 is 3606932.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100929687 + ... + 101058505.

Almost surely, 2^{13009958452624} is an apocalyptic number.

13009958452624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13009958452624 is the 3606932-nd square number.

It is an amenable number.

13009958452624 is an abundant number, since it is smaller than the sum of its proper divisors (16312458695003).

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

13009958452624 is an frugal number, since it uses more digits than its factorization.

13009958452624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257660 (or 128828 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 13009958452624 in words is "thirteen trillion, nine billion, nine hundred fifty-eight million, four hundred fifty-two thousand, six hundred twenty-four".