315601000 has 128 divisors (see below), whose sum is σ = 868008960. Its totient is φ = 105888000.

The previous prime is 315600983. The next prime is 315601019. The reversal of 315601000 is 106513.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141897 + ... + 144103.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320).

Almost surely, 2^315601000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434004480).

315601000 is an abundant number, since it is smaller than the sum of its proper divisors (552407960).

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

315601000 is a wasteful number, since it uses less digits than its factorization.

315601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 315601000 is about 17765.1625379561. The cubic root of 315601000 is about 680.8416625406.

Adding to 315601000 its reverse (106513), we get a palindrome (315707513).

The spelling of 315601000 in words is "three hundred fifteen million, six hundred one thousand".