13528122182531 has 16 divisors (see below), whose sum is σ = 15101340397440. Its totient is φ = 12012142302720.

The previous prime is 13528122182507. The next prime is 13528122182537.

13528122182531 is nontrivially palindromic in base 10.

13528122182531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13528122182531 - 2³⁰ = 13527048440707 is a prime.

It is a super-2 number, since 2×13528122182531² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13528122182537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68374115 + ... + 68571683.

It is an arithmetic number, because the mean of its divisors is an integer number (943833774840).

Almost surely, 2^{13528122182531} is an apocalyptic number.

13528122182531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13528122182531 is a deficient number, since it is larger than the sum of its proper divisors (1573218214909).

13528122182531 is a wasteful number, since it uses less digits than its factorization.

13528122182531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342386.

The product of its digits is 230400, while the sum is 44.

The spelling of 13528122182531 in words is "thirteen trillion, five hundred twenty-eight billion, one hundred twenty-two million, one hundred eighty-two thousand, five hundred thirty-one".