363013056 has 112 divisors (see below), whose sum is σ = 1219687680. Its totient is φ = 103714560.

The previous prime is 363012997. The next prime is 363013061. The reversal of 363013056 is 650310363.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 2910 + ... + 27101.

Almost surely, 2^363013056 is an apocalyptic number.

363013056 is a gapful number since it is divisible by the number (36) 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 363013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609843840).

363013056 is an abundant number, since it is smaller than the sum of its proper divisors (856674624).

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

363013056 is a wasteful number, since it uses less digits than its factorization.

363013056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30039 (or 30023 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 363013056 is about 19052.9015113184. The cubic root of 363013056 is about 713.3578012007.

The spelling of 363013056 in words is "three hundred sixty-three million, thirteen thousand, fifty-six".