13531536 has 100 divisors (see below), whose sum is σ = 40105692. Its totient is φ = 4402944.

The previous prime is 13531523. The next prime is 13531547. The reversal of 13531536 is 63513531.

13531536 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 1587600 = 3456^2 + 1260^2 .

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

Its product of digits (4050) is a multiple of the sum of its prime factors (270).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68590 + ... + 68786.

Almost surely, 2^13531536 is an apocalyptic number.

13531536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20052846).

13531536 is an abundant number, since it is smaller than the sum of its proper divisors (26574156).

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

13531536 is a wasteful number, since it uses less digits than its factorization.

13531536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 13531536 is about 3678.5236168876. The cubic root of 13531536 is about 238.2954220538.

The spelling of 13531536 in words is "thirteen million, five hundred thirty-one thousand, five hundred thirty-six".