630513 has 24 divisors (see below), whose sum is σ = 1041768. Its totient is φ = 364032.

The previous prime is 630493. The next prime is 630521. The reversal of 630513 is 315036.

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 627264 = 57^2 + 792^2 .

It is not a de Polignac number, because 630513 - 2⁵ = 630481 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1831 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (43407).

2⁶³⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

630513 is a deficient number, since it is larger than the sum of its proper divisors (411255).

630513 is a wasteful number, since it uses less digits than its factorization.

630513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 350 counting only the distinct ones).

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

The square root of 630513 is about 794.0484871845. The cubic root of 630513 is about 85.7494510472.

Adding to 630513 its reverse (315036), we get a palindrome (945549).

The spelling of 630513 in words is "six hundred thirty thousand, five hundred thirteen".