315001152 has 168 divisors, whose sum is σ = 962863200. Its totient is φ = 98178048.

The previous prime is 315001151. The next prime is 315001163. The reversal of 315001152 is 251100513.

It is a super-2 number, since 2×315001152² = 198451451522654208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315001151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1170874 + ... + 1171142.

Almost surely, 2^315001152 is an apocalyptic number.

315001152 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 315001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481431600).

315001152 is an abundant number, since it is smaller than the sum of its proper divisors (647862048).

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

315001152 is a wasteful number, since it uses less digits than its factorization.

315001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 315001152 is about 17748.2718031926. The cubic root of 315001152 is about 680.4100410456.

Adding to 315001152 its reverse (251100513), we get a palindrome (566101665).

The spelling of 315001152 in words is "three hundred fifteen million, one thousand, one hundred fifty-two".