513488 has 20 divisors (see below), whose sum is σ = 1011840. Its totient is φ = 252384.

The previous prime is 513481. The next prime is 513509. The reversal of 513488 is 884315.

It is a super-2 number, since 2×513488² = 527339852288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513488.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513488.

It is not an unprimeable number, because it can be changed into a prime (513481) by changing a digit.

513488 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 in 3 ways as a sum of consecutive naturals, for example, 833 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (50592).

2⁵¹³⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

513488 is a deficient number, since it is larger than the sum of its proper divisors (498352).

513488 is a wasteful number, since it uses less digits than its factorization.

513488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 513488 is about 716.5807700462. The cubic root of 513488 is about 80.0774250429.

It can be divided in two parts, 513 and 488, that added together give a palindrome (1001).

The spelling of 513488 in words is "five hundred thirteen thousand, four hundred eighty-eight".