515952 has 30 divisors (see below), whose sum is σ = 1444352. Its totient is φ = 171936.

The previous prime is 515951. The next prime is 515969. The reversal of 515952 is 259515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1648 + ... + 1935.

2⁵¹⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

515952 is an abundant number, since it is smaller than the sum of its proper divisors (928400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

515952 is a wasteful number, since it uses less digits than its factorization.

515952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3588 counting only the distinct ones).

The product of its digits is 2250, while the sum is 27.

The square root of 515952 is about 718.2979883029. The cubic root of 515952 is about 80.2053060007.

The spelling of 515952 in words is "five hundred fifteen thousand, nine hundred fifty-two".