513952 has 12 divisors (see below), whose sum is σ = 1011906. Its totient is φ = 256960.

The previous prime is 513943. The next prime is 513977. The reversal of 513952 is 259315.

It can be written as a sum of positive squares in only one way, i.e., 512656 + 1296 = 716^2 + 36^2 .

It is an unprimeable number.

513952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7999 + ... + 8062.

2⁵¹³⁹⁵² is an apocalyptic number.

It is an amenable number.

513952 is a deficient number, since it is larger than the sum of its proper divisors (497954).

513952 is a wasteful number, since it uses less digits than its factorization.

513952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16071 (or 16063 counting only the distinct ones).

The product of its digits is 1350, while the sum is 25.

The square root of 513952 is about 716.9044566747. The cubic root of 513952 is about 80.1015377382.

The spelling of 513952 in words is "five hundred thirteen thousand, nine hundred fifty-two".