253507 has 2 divisors, whose sum is σ = 253508. Its totient is φ = 253506.

The previous prime is 253501. The next prime is 253531. The reversal of 253507 is 705352.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-253507 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253501) 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, 126753 + 126754.

It is an arithmetic number, because the mean of its divisors is an integer number (126754).

2²⁵³⁵⁰⁷ is an apocalyptic number.

253507 is a deficient number, since it is larger than the sum of its proper divisors (1).

253507 is an equidigital number, since it uses as much as digits as its factorization.

253507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 253507 is about 503.4947864675. The cubic root of 253507 is about 63.2892552643.

Adding to 253507 its reverse (705352), we get a palindrome (958859).

It can be divided in two parts, 253 and 507, that multiplied together give a triangular number (128271 = T₅₀₆).

The spelling of 253507 in words is "two hundred fifty-three thousand, five hundred seven".