313515000 has 120 divisors (see below), whose sum is σ = 1061191560. Its totient is φ = 83592000.

The previous prime is 313514989. The next prime is 313515019. The reversal of 313515000 is 515313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 41517 + ... + 48483.

It is an arithmetic number, because the mean of its divisors is an integer number (8843263).

Almost surely, 2^313515000 is an apocalyptic number.

313515000 is a gapful number since it is divisible by the number (30) 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 313515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530595780).

313515000 is an abundant number, since it is smaller than the sum of its proper divisors (747676560).

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

313515000 is a wasteful number, since it uses less digits than its factorization.

313515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 313515000 is about 17706.3547914301. The cubic root of 313515000 is about 679.3383125114.

The spelling of 313515000 in words is "three hundred thirteen million, five hundred fifteen thousand".