315153006 has 96 divisors (see below), whose sum is σ = 765204480. Its totient is φ = 86184000.

The previous prime is 315152993. The next prime is 315153011. The reversal of 315153006 is 600351513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376100 + ... + 1376328.

It is an arithmetic number, because the mean of its divisors is an integer number (7970880).

Almost surely, 2^315153006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315153006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382602240).

315153006 is an abundant number, since it is smaller than the sum of its proper divisors (450051474).

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

315153006 is a wasteful number, since it uses less digits than its factorization.

315153006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 315153006 is about 17752.5492817229. The cubic root of 315153006 is about 680.5193595745.

The spelling of 315153006 in words is "three hundred fifteen million, one hundred fifty-three thousand, six".