13125516905952 has 480 divisors, whose sum is σ = 42367561657344. Its totient is φ = 3969604454400.

The previous prime is 13125516905899. The next prime is 13125516906037. The reversal of 13125516905952 is 25950961552131.

13125516905952 is a `hidden beast` number, since 1 + 3 + 1 + 25 + 516 + 9 + 0 + 59 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4205546952 + ... + 4205550072.

Almost surely, 2^{13125516905952} is an apocalyptic number.

13125516905952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13125516905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21183780828672).

13125516905952 is an abundant number, since it is smaller than the sum of its proper divisors (29242044751392).

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

13125516905952 is an frugal number, since it uses more digits than its factorization.

13125516905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 54.

The spelling of 13125516905952 in words is "thirteen trillion, one hundred twenty-five billion, five hundred sixteen million, nine hundred five thousand, nine hundred fifty-two".