783135313 has 16 divisors (see below), whose sum is σ = 807831360. Its totient is φ = 758951424.

The previous prime is 783135289. The next prime is 783135317. The reversal of 783135313 is 313531387.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 783135313 - 2⁵ = 783135281 is a prime.

It is a super-2 number, since 2×783135313² = 1226601836935215938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (783135317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146270 + ... + 1146952.

It is an arithmetic number, because the mean of its divisors is an integer number (50489460).

Almost surely, 2^783135313 is an apocalyptic number.

783135313 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

783135313 is a deficient number, since it is larger than the sum of its proper divisors (24696047).

783135313 is a wasteful number, since it uses less digits than its factorization.

783135313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008.

The product of its digits is 22680, while the sum is 34.

The square root of 783135313 is about 27984.5549008734. The cubic root of 783135313 is about 921.7481384416.

The spelling of 783135313 in words is "seven hundred eighty-three million, one hundred thirty-five thousand, three hundred thirteen".