513105135 has 32 divisors (see below), whose sum is σ = 874141632. Its totient is φ = 256112640.

The previous prime is 513105121. The next prime is 513105161. The reversal of 513105135 is 531501315.

It is not a de Polignac number, because 513105135 - 2¹⁵ = 513072367 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 31 ways as a sum of consecutive naturals, for example, 40597 + ... + 51713.

It is an arithmetic number, because the mean of its divisors is an integer number (27316926).

Almost surely, 2^513105135 is an apocalyptic number.

513105135 is a deficient number, since it is larger than the sum of its proper divisors (361036497).

513105135 is a wasteful number, since it uses less digits than its factorization.

513105135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 513105135 is about 22651.8240987343. The cubic root of 513105135 is about 800.5751775103.

The spelling of 513105135 in words is "five hundred thirteen million, one hundred five thousand, one hundred thirty-five".