314513000 has 32 divisors (see below), whose sum is σ = 735962760. Its totient is φ = 125804800.

The previous prime is 314512997. The next prime is 314513027. The reversal of 314513000 is 315413.

It can be written as a sum of positive squares in 4 ways, for example, as 74200996 + 240312004 = 8614^2 + 15502^2 .

It is a super-3 number, since 3×314513000³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314513000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156257 + ... + 158256.

Almost surely, 2^314513000 is an apocalyptic number.

It is an amenable number.

314513000 is an abundant number, since it is smaller than the sum of its proper divisors (421449760).

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

314513000 is a wasteful number, since it uses less digits than its factorization.

314513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314534 (or 314520 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 314513000 is about 17734.5143716990. The cubic root of 314513000 is about 680.0583859902.

Adding to 314513000 its reverse (315413), we get a palindrome (314828413).

The spelling of 314513000 in words is "three hundred fourteen million, five hundred thirteen thousand".