251353 has 2 divisors, whose sum is σ = 251354. Its totient is φ = 251352.

The previous prime is 251347. The next prime is 251359. The reversal of 251353 is 353152.

It is a balanced prime because it is at equal distance from previous prime (251347) and next prime (251359).

It can be written as a sum of positive squares in only one way, i.e., 127449 + 123904 = 357^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 251353 - 2⁹ = 250841 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 251353.

It is not a weakly prime, because it can be changed into another prime (251359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125676 + 125677.

It is an arithmetic number, because the mean of its divisors is an integer number (125677).

2²⁵¹³⁵³ is an apocalyptic number.

It is an amenable number.

251353 is a deficient number, since it is larger than the sum of its proper divisors (1).

251353 is an equidigital number, since it uses as much as digits as its factorization.

251353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 450, while the sum is 19.

The square root of 251353 is about 501.3511743279. The cubic root of 251353 is about 63.1094929723.

It can be divided in two parts, 25 and 1353, that added together give a triangular number (1378 = T₅₂).

The spelling of 251353 in words is "two hundred fifty-one thousand, three hundred fifty-three".