360513152 has 96 divisors (see below), whose sum is σ = 791582220. Its totient is φ = 162971648.

The previous prime is 360513151. The next prime is 360513157. The reversal of 360513152 is 251315063.

It can be written as a sum of positive squares in 6 ways, for example, as 330657856 + 29855296 = 18184^2 + 5464^2 .

It is not an unprimeable number, because it can be changed into a prime (360513151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1829918 + ... + 1830114.

Almost surely, 2^360513152 is an apocalyptic number.

360513152 is a gapful number since it is divisible by the number (32) 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 360513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395791110).

360513152 is an abundant number, since it is smaller than the sum of its proper divisors (431069068).

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

360513152 is a wasteful number, since it uses less digits than its factorization.

360513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 360513152 is about 18987.1838880862. The cubic root of 360513152 is about 711.7165054090.

The spelling of 360513152 in words is "three hundred sixty million, five hundred thirteen thousand, one hundred fifty-two".