13253524416 has 168 divisors, whose sum is σ = 43244682624. Its totient is φ = 3841559040.

The previous prime is 13253524391. The next prime is 13253524463. The reversal of 13253524416 is 61442535231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100255 + ... + 191201.

Almost surely, 2^13253524416 is an apocalyptic number.

13253524416 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 13253524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21622341312).

13253524416 is an abundant number, since it is smaller than the sum of its proper divisors (29991158208).

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

13253524416 is a wasteful number, since it uses less digits than its factorization.

13253524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90999 (or 90986 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 13253524416 in words is "thirteen billion, two hundred fifty-three million, five hundred twenty-four thousand, four hundred sixteen".