635013 has 16 divisors (see below), whose sum is σ = 974400. Its totient is φ = 408240.

The previous prime is 635003. The next prime is 635021. The reversal of 635013 is 310536.

It is not a de Polignac number, because 635013 - 2⁸ = 634757 is a prime.

635013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (60900).

2⁶³⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

635013 is a deficient number, since it is larger than the sum of its proper divisors (339387).

635013 is a wasteful number, since it uses less digits than its factorization.

635013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

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

The square root of 635013 is about 796.8770294092. The cubic root of 635013 is about 85.9529668911.

Adding to 635013 its reverse (310536), we get a palindrome (945549).

It can be divided in two parts, 63501 and 3, that added together give a square (63504 = 252²).

The spelling of 635013 in words is "six hundred thirty-five thousand, thirteen".