513448 has 16 divisors (see below), whose sum is σ = 1036980. Its totient is φ = 236928.

The previous prime is 513439. The next prime is 513473. The reversal of 513448 is 844315.

It can be written as a sum of positive squares in 2 ways, for example, as 487204 + 26244 = 698^2 + 162^2 .

It is an unprimeable 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, 2365 + ... + 2572.

2⁵¹³⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

513448 is an abundant number, since it is smaller than the sum of its proper divisors (523532).

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

513448 is a wasteful number, since it uses less digits than its factorization.

513448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 4952 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 513448 is about 716.5528591807. The cubic root of 513448 is about 80.0753456822.

It can be divided in two parts, 513 and 448, that added together give a square (961 = 31²).

The spelling of 513448 in words is "five hundred thirteen thousand, four hundred forty-eight".