633013 has 2 divisors, whose sum is σ = 633014. Its totient is φ = 633012.

The previous prime is 633001. The next prime is 633037. The reversal of 633013 is 310336.

633013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 400689 + 232324 = 633^2 + 482^2 .

It is a cyclic number.

It is not a de Polignac number, because 633013 - 2⁹ = 632501 is a prime.

633013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (633053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 316506 + 316507.

It is an arithmetic number, because the mean of its divisors is an integer number (316507).

2⁶³³⁰¹³ is an apocalyptic number.

It is an amenable number.

633013 is a deficient number, since it is larger than the sum of its proper divisors (1).

633013 is an equidigital number, since it uses as much as digits as its factorization.

633013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 633013 is about 795.6211409961. The cubic root of 633013 is about 85.8626345014.

Adding to 633013 its reverse (310336), we get a palindrome (943349).

The spelling of 633013 in words is "six hundred thirty-three thousand, thirteen".