13552506318351 has 576 divisors, whose sum is σ = 26849694412800. Its totient is φ = 5991526195200.

The previous prime is 13552506318343. The next prime is 13552506318367. The reversal of 13552506318351 is 15381360525531.

It is not a de Polignac number, because 13552506318351 - 2³ = 13552506318343 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13552506318351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13552506318251) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 35758591680 + ... + 35758592058.

It is an arithmetic number, because the mean of its divisors is an integer number (46614052800).

Almost surely, 2^{13552506318351} is an apocalyptic number.

13552506318351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13552506318351 is a deficient number, since it is larger than the sum of its proper divisors (13297188094449).

13552506318351 is a wasteful number, since it uses less digits than its factorization.

13552506318351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 13552506318351 in words is "thirteen trillion, five hundred fifty-two billion, five hundred six million, three hundred eighteen thousand, three hundred fifty-one".