513135077 has 16 divisors (see below), whose sum is σ = 653331840. Its totient is φ = 391995072.

The previous prime is 513135059. The next prime is 513135079. The reversal of 513135077 is 770531315.

It is not a de Polignac number, because 513135077 - 2²⁶ = 446026213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513135079) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 94583 + ... + 99860.

It is an arithmetic number, because the mean of its divisors is an integer number (40833240).

Almost surely, 2^513135077 is an apocalyptic number.

It is an amenable number.

513135077 is a deficient number, since it is larger than the sum of its proper divisors (140196763).

513135077 is a wasteful number, since it uses less digits than its factorization.

513135077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194492.

The product of its (nonzero) digits is 11025, while the sum is 32.

The square root of 513135077 is about 22652.4850071686. The cubic root of 513135077 is about 800.5907495988.

The spelling of 513135077 in words is "five hundred thirteen million, one hundred thirty-five thousand, seventy-seven".