63513 has 6 divisors (see below), whose sum is σ = 91754. Its totient is φ = 42336.

The previous prime is 63499. The next prime is 63521. The reversal of 63513 is 31536.

63513 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 9 = 252^2 + 3^2 .

It is not a de Polignac number, because 63513 - 2¹² = 59417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3520 + ... + 3537.

2⁶³⁵¹³ is an apocalyptic number.

It is an amenable number.

63513 is a deficient number, since it is larger than the sum of its proper divisors (28241).

63513 is a wasteful number, since it uses less digits than its factorization.

63513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7060 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 63513 is about 252.0178565102. The cubic root of 63513 is about 39.8982832284.

It can be divided in two parts, 63 and 513, that added together give a square (576 = 24²).

The spelling of 63513 in words is "sixty-three thousand, five hundred thirteen".