807055313 has 2 divisors, whose sum is σ = 807055314. Its totient is φ = 807055312.

The previous prime is 807055309. The next prime is 807055373. The reversal of 807055313 is 313550708.

807055313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 773785489 + 33269824 = 27817^2 + 5768^2 .

It is a cyclic number.

It is not a de Polignac number, because 807055313 - 2² = 807055309 is a prime.

It is a super-3 number, since 3×807055313³ (a number of 28 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 807055313.

It is not a weakly prime, because it can be changed into another prime (807055373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403527656 + 403527657.

It is an arithmetic number, because the mean of its divisors is an integer number (403527657).

Almost surely, 2^807055313 is an apocalyptic number.

It is an amenable number.

807055313 is a deficient number, since it is larger than the sum of its proper divisors (1).

807055313 is an equidigital number, since it uses as much as digits as its factorization.

807055313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 807055313 is about 28408.7189609106. The cubic root of 807055313 is about 931.0387718573.

The spelling of 807055313 in words is "eight hundred seven million, fifty-five thousand, three hundred thirteen".