513975963 has 32 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 320276000.

The previous prime is 513975919. The next prime is 513975989. The reversal of 513975963 is 369579315.

It is not a de Polignac number, because 513975963 - 2¹³ = 513967771 is a prime.

It is a super-3 number, since 3×513975963³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (513975863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021570 + ... + 1022072.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 2^513975963 is an apocalyptic number.

513975963 is a deficient number, since it is larger than the sum of its proper divisors (217590117).

513975963 is a wasteful number, since it uses less digits than its factorization.

513975963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839.

The product of its digits is 765450, while the sum is 48.

The square root of 513975963 is about 22671.0379780018. The cubic root of 513975963 is about 801.0278262967.

The spelling of 513975963 in words is "five hundred thirteen million, nine hundred seventy-five thousand, nine hundred sixty-three".