513790363314 has 24 divisors (see below), whose sum is σ = 1116245744640. Its totient is φ = 170796794328.

The previous prime is 513790363283. The next prime is 513790363319. The reversal of 513790363314 is 413363097315.

513790363314 is a `hidden beast` number, since 5 + 1 + 3 + 7 + 9 + 0 + 3 + 633 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513790363314.

It is not an unprimeable number, because it can be changed into a prime (513790363319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38881554 + ... + 38894765.

It is an arithmetic number, because the mean of its divisors is an integer number (46510239360).

Almost surely, 2^513790363314 is an apocalyptic number.

513790363314 is an abundant number, since it is smaller than the sum of its proper divisors (602455381326).

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

513790363314 is a wasteful number, since it uses less digits than its factorization.

513790363314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77776694 (or 77776691 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 513790363314 in words is "five hundred thirteen billion, seven hundred ninety million, three hundred sixty-three thousand, three hundred fourteen".