13409515952514 has 256 divisors, whose sum is σ = 35228338421760. Its totient is φ = 3739751104320.

The previous prime is 13409515952507. The next prime is 13409515952563. The reversal of 13409515952514 is 41525951590431.

It is a happy number.

13409515952514 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 9 + 51 + 59 + 525 + 14 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39189879 + ... + 39530565.

It is an arithmetic number, because the mean of its divisors is an integer number (137610696960).

Almost surely, 2^{13409515952514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13409515952514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17614169210880).

13409515952514 is an abundant number, since it is smaller than the sum of its proper divisors (21818822469246).

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

13409515952514 is a wasteful number, since it uses less digits than its factorization.

13409515952514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340842 (or 340836 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 13409515952514 in words is "thirteen trillion, four hundred nine billion, five hundred fifteen million, nine hundred fifty-two thousand, five hundred fourteen".