13528041516 has 432 divisors, whose sum is σ = 42162591744. Its totient is φ = 3636864000.

The previous prime is 13528041503. The next prime is 13528041517. The reversal of 13528041516 is 61514082531.

13528041516 is a `hidden beast` number, since 13 + 52 + 80 + 4 + 1 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13528041517) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162988411 + ... + 162988493.

It is an arithmetic number, because the mean of its divisors is an integer number (97598592).

Almost surely, 2^13528041516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13528041516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081295872).

13528041516 is an abundant number, since it is smaller than the sum of its proper divisors (28634550228).

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

13528041516 is a wasteful number, since it uses less digits than its factorization.

13528041516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13528041516 in words is "thirteen billion, five hundred twenty-eight million, forty-one thousand, five hundred sixteen".