314838513 has 72 divisors (see below), whose sum is σ = 537316416. Its totient is φ = 175824000.

The previous prime is 314838499. The next prime is 314838523. The reversal of 314838513 is 315838413.

It is not a de Polignac number, because 314838513 - 2¹² = 314834417 is a prime.

It is a super-4 number, since 4×314838513⁴ (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (314838523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3117163 + ... + 3117263.

It is an arithmetic number, because the mean of its divisors is an integer number (7462728).

Almost surely, 2^314838513 is an apocalyptic number.

314838513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314838513 is a deficient number, since it is larger than the sum of its proper divisors (222477903).

314838513 is a wasteful number, since it uses less digits than its factorization.

314838513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 175 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 314838513 is about 17743.6893852434. The cubic root of 314838513 is about 680.2929195063.

The spelling of 314838513 in words is "three hundred fourteen million, eight hundred thirty-eight thousand, five hundred thirteen".