513007775 has 24 divisors (see below), whose sum is σ = 746663520. Its totient is φ = 342264960.

The previous prime is 513007763. The next prime is 513007787. The reversal of 513007775 is 577700315.

It is an interprime number because it is at equal distance from previous prime (513007763) and next prime (513007787).

It is not a de Polignac number, because 513007775 - 2⁶ = 513007711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33140 + ... + 46089.

It is an arithmetic number, because the mean of its divisors is an integer number (31110980).

Almost surely, 2^513007775 is an apocalyptic number.

513007775 is a deficient number, since it is larger than the sum of its proper divisors (233655745).

513007775 is a wasteful number, since it uses less digits than its factorization.

513007775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79283 (or 79278 counting only the distinct ones).

The product of its (nonzero) digits is 25725, while the sum is 35.

The square root of 513007775 is about 22649.6749424799. The cubic root of 513007775 is about 800.5245388111.

The spelling of 513007775 in words is "five hundred thirteen million, seven thousand, seven hundred seventy-five".