13515132015 has 256 divisors, whose sum is σ = 31352832000. Its totient is φ = 5359495680.

The previous prime is 13515131999. The next prime is 13515132017. The reversal of 13515132015 is 51023151531.

13515132015 is a `hidden beast` number, since 1 + 3 + 515 + 132 + 0 + 15 = 666.

It is not a de Polignac number, because 13515132015 - 2⁴ = 13515131999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13515132015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13515132017) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32255476 + ... + 32255894.

It is an arithmetic number, because the mean of its divisors is an integer number (122472000).

Almost surely, 2^13515132015 is an apocalyptic number.

13515132015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13515132015 is an abundant number, since it is smaller than the sum of its proper divisors (17837699985).

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

13515132015 is a wasteful number, since it uses less digits than its factorization.

13515132015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 13515132015 its reverse (51023151531), we get a palindrome (64538283546).

It can be divided in two parts, 13515 and 132015, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 13515132015 in words is "thirteen billion, five hundred fifteen million, one hundred thirty-two thousand, fifteen".