13553952 has 48 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 4439552.

The previous prime is 13553909. The next prime is 13553957. The reversal of 13553952 is 25935531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13553952² = 367419229636608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13553957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4468 + ... + 6860.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^13553952 is an apocalyptic number.

13553952 is a gapful number since it is divisible by the number (12) 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 13553952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

13553952 is an abundant number, since it is smaller than the sum of its proper divisors (22643328).

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

13553952 is a wasteful number, since it uses less digits than its factorization.

13553952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2457 counting only the distinct ones).

The product of its digits is 20250, while the sum is 33.

The square root of 13553952 is about 3681.5692306407. The cubic root of 13553952 is about 238.4269341819.

The spelling of 13553952 in words is "thirteen million, five hundred fifty-three thousand, nine hundred fifty-two".