513223535 has 32 divisors (see below), whose sum is σ = 709240320. Its totient is φ = 352598400.

The previous prime is 513223531. The next prime is 513223537. The reversal of 513223535 is 535322315.

It is not a de Polignac number, because 513223535 - 2² = 513223531 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513223498 and 513223507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513223531) 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 31 ways as a sum of consecutive naturals, for example, 690374 + ... + 691116.

It is an arithmetic number, because the mean of its divisors is an integer number (22163760).

Almost surely, 2^513223535 is an apocalyptic number.

513223535 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513223535 is a deficient number, since it is larger than the sum of its proper divisors (196016785).

513223535 is a wasteful number, since it uses less digits than its factorization.

513223535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439.

The product of its digits is 13500, while the sum is 29.

The square root of 513223535 is about 22654.4374240456. The cubic root of 513223535 is about 800.6367508635.

The spelling of 513223535 in words is "five hundred thirteen million, two hundred twenty-three thousand, five hundred thirty-five".