57513 has 8 divisors (see below), whose sum is σ = 80800. Its totient is φ = 36288.

The previous prime is 57503. The next prime is 57527. The reversal of 57513 is 31575.

It is a happy number.

57513 is nontrivially palindromic in base 14.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57513 - 2¹⁰ = 56489 is a prime.

It is a Duffinian number.

57513 is a modest number, since divided by 513 gives 57 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 57513.

It is not an unprimeable number, because it can be changed into a prime (57503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (10100).

2⁵⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

57513 is a deficient number, since it is larger than the sum of its proper divisors (23287).

57513 is a wasteful number, since it uses less digits than its factorization.

57513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031.

The product of its digits is 525, while the sum is 21.

The square root of 57513 is about 239.8186815075. The cubic root of 57513 is about 38.6001217031.

It can be divided in two parts, 57 and 513, that multiplied together give a square (29241 = 171²).

The spelling of 57513 in words is "fifty-seven thousand, five hundred thirteen".