315165006 has 80 divisors (see below), whose sum is σ = 805354704. Its totient is φ = 91259136.

The previous prime is 315164987. The next prime is 315165013. The reversal of 315165006 is 600561513.

It is a happy number.

315165006 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 650 + 0 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 31401 + ... + 40203.

Almost surely, 2^315165006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315165006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402677352).

315165006 is an abundant number, since it is smaller than the sum of its proper divisors (490189698).

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

315165006 is a wasteful number, since it uses less digits than its factorization.

315165006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8847 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 315165006 is about 17752.8872581335. The cubic root of 315165006 is about 680.5279967852.

The spelling of 315165006 in words is "three hundred fifteen million, one hundred sixty-five thousand, six".