393056313 has 12 divisors (see below), whose sum is σ = 567490320. Its totient is φ = 241880496.

The previous prime is 393056311. The next prime is 393056317. The reversal of 393056313 is 313650393.

It is not a de Polignac number, because 393056313 - 2¹ = 393056311 is a prime.

It is a super-3 number, since 3×393056313³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (393056311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387123 + ... + 388136.

It is an arithmetic number, because the mean of its divisors is an integer number (47290860).

Almost surely, 2^393056313 is an apocalyptic number.

It is an amenable number.

393056313 is a deficient number, since it is larger than the sum of its proper divisors (174434007).

393056313 is a wasteful number, since it uses less digits than its factorization.

393056313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775288 (or 775275 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 33.

The square root of 393056313 is about 19825.6478582668. The cubic root of 393056313 is about 732.5179286382.

The spelling of 393056313 in words is "three hundred ninety-three million, fifty-six thousand, three hundred thirteen".