513005235 has 16 divisors (see below), whose sum is σ = 838273536. Its totient is φ = 267781088.

The previous prime is 513005231. The next prime is 513005239. The reversal of 513005235 is 532500315.

It is an interprime number because it is at equal distance from previous prime (513005231) and next prime (513005239).

It is a cyclic number.

It is not a de Polignac number, because 513005235 - 2² = 513005231 is a prime.

It is a super-3 number, since 3×513005235³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (513005231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363129 + ... + 364538.

It is an arithmetic number, because the mean of its divisors is an integer number (52392096).

Almost surely, 2^513005235 is an apocalyptic number.

513005235 is a deficient number, since it is larger than the sum of its proper divisors (325268301).

513005235 is a wasteful number, since it uses less digits than its factorization.

513005235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727722.

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 513005235 is about 22649.6188709656. The cubic root of 513005235 is about 800.5232176254.

The spelling of 513005235 in words is "five hundred thirteen million, five thousand, two hundred thirty-five".