513342775 has 48 divisors (see below), whose sum is σ = 731203200. Its totient is φ = 354032000.

The previous prime is 513342749. The next prime is 513342787. The reversal of 513342775 is 577243315.

It is not a de Polignac number, because 513342775 - 2⁷ = 513342647 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 469980 + ... + 471070.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^513342775 is an apocalyptic number.

513342775 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513342775 is a deficient number, since it is larger than the sum of its proper divisors (217860425).

513342775 is a wasteful number, since it uses less digits than its factorization.

513342775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1195 counting only the distinct ones).

The product of its digits is 88200, while the sum is 37.

The square root of 513342775 is about 22657.0689851975. The cubic root of 513342775 is about 800.6987514844.

The spelling of 513342775 in words is "five hundred thirteen million, three hundred forty-two thousand, seven hundred seventy-five".