253013 has 2 divisors, whose sum is σ = 253014. Its totient is φ = 253012.

The previous prime is 253003. The next prime is 253049. The reversal of 253013 is 310352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 253009 + 4 = 503^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 253013 - 2⁶ = 252949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126506 + 126507.

It is an arithmetic number, because the mean of its divisors is an integer number (126507).

253013 is a Friedman number, since it can be written as 503^2+3+1, using all its digits and the basic arithmetic operations.

2²⁵³⁰¹³ is an apocalyptic number.

It is an amenable number.

253013 is a deficient number, since it is larger than the sum of its proper divisors (1).

253013 is an equidigital number, since it uses as much as digits as its factorization.

253013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 253013 is about 503.0039761274. The cubic root of 253013 is about 63.2481186982.

Adding to 253013 its reverse (310352), we get a palindrome (563365).

The spelling of 253013 in words is "two hundred fifty-three thousand, thirteen".