314519552 has 52 divisors (see below), whose sum is σ = 649513536. Its totient is φ = 152125440.

The previous prime is 314519539. The next prime is 314519581. The reversal of 314519552 is 255915413.

It is a super-3 number, since 3×314519552³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125738 + ... + 128214.

Almost surely, 2^314519552 is an apocalyptic number.

314519552 is a gapful number since it is divisible by the number (32) 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 314519552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324756768).

314519552 is an abundant number, since it is smaller than the sum of its proper divisors (334993984).

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

314519552 is an equidigital number, since it uses as much as digits as its factorization.

314519552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2510 counting only the distinct ones).

The product of its digits is 27000, while the sum is 35.

The square root of 314519552 is about 17734.6990952765. The cubic root of 314519552 is about 680.0631083298.

The spelling of 314519552 in words is "three hundred fourteen million, five hundred nineteen thousand, five hundred fifty-two".