13086534825 has 384 divisors, whose sum is σ = 31597977600. Its totient is φ = 5159531520.

The previous prime is 13086534823. The next prime is 13086534827. The reversal of 13086534825 is 52843568031.

13086534825 is a `hidden beast` number, since 1 + 30 + 8 + 6 + 534 + 82 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13086534823) and next prime (13086534827).

It is not a de Polignac number, because 13086534825 - 2¹ = 13086534823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13086534821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83353647 + ... + 83353803.

It is an arithmetic number, because the mean of its divisors is an integer number (82286400).

Almost surely, 2^13086534825 is an apocalyptic number.

13086534825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13086534825 is an abundant number, since it is smaller than the sum of its proper divisors (18511442775).

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

13086534825 is a wasteful number, since it uses less digits than its factorization.

13086534825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 13086534825 in words is "thirteen billion, eighty-six million, five hundred thirty-four thousand, eight hundred twenty-five".