10613652 has 48 divisors (see below), whose sum is σ = 29285760. Its totient is φ = 2927232.

The previous prime is 10613641. The next prime is 10613663. The reversal of 10613652 is 25631601.

10613652 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10613641) and next prime (10613663).

It is a super-2 number, since 2×10613652² = 225299217554208, which contains 22 as substring.

10613652 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258 + ... + 4614.

It is an arithmetic number, because the mean of its divisors is an integer number (610120).

Almost surely, 2^10613652 is an apocalyptic number.

10613652 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 10613652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642880).

10613652 is an abundant number, since it is smaller than the sum of its proper divisors (18672108).

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

10613652 is a wasteful number, since it uses less digits than its factorization.

10613652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10613652 is about 3257.8600338259. The cubic root of 10613652 is about 219.7631887104.

The spelling of 10613652 in words is "ten million, six hundred thirteen thousand, six hundred fifty-two".