513968507 has 16 divisors (see below), whose sum is σ = 565669440. Its totient is φ = 464061312.

The previous prime is 513968501. The next prime is 513968527. The reversal of 513968507 is 705869315.

It is not a de Polignac number, because 513968507 - 2⁴ = 513968491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513968501) 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, 272594 + ... + 274472.

It is an arithmetic number, because the mean of its divisors is an integer number (35354340).

Almost surely, 2^513968507 is an apocalyptic number.

513968507 is a deficient number, since it is larger than the sum of its proper divisors (51700933).

513968507 is a wasteful number, since it uses less digits than its factorization.

513968507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342.

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 513968507 is about 22670.8735385296. The cubic root of 513968507 is about 801.0239529039.

The spelling of 513968507 in words is "five hundred thirteen million, nine hundred sixty-eight thousand, five hundred seven".