505623253 has 2 divisors, whose sum is σ = 505623254. Its totient is φ = 505623252.

The previous prime is 505623247. The next prime is 505623259. The reversal of 505623253 is 352326505.

It is a balanced prime because it is at equal distance from previous prime (505623247) and next prime (505623259).

It can be written as a sum of positive squares in only one way, i.e., 478821924 + 26801329 = 21882^2 + 5177^2 .

It is a cyclic number.

It is not a de Polignac number, because 505623253 - 2⁵ = 505623221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505623259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252811626 + 252811627.

It is an arithmetic number, because the mean of its divisors is an integer number (252811627).

Almost surely, 2^505623253 is an apocalyptic number.

It is an amenable number.

505623253 is a deficient number, since it is larger than the sum of its proper divisors (1).

505623253 is an equidigital number, since it uses as much as digits as its factorization.

505623253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 505623253 is about 22486.0679755265. The cubic root of 505623253 is about 796.6648932538.

Adding to 505623253 its reverse (352326505), we get a palindrome (857949758).

The spelling of 505623253 in words is "five hundred five million, six hundred twenty-three thousand, two hundred fifty-three".