251653 has 2 divisors, whose sum is σ = 251654. Its totient is φ = 251652.

The previous prime is 251639. The next prime is 251663. The reversal of 251653 is 356152.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134689 + 116964 = 367^2 + 342^2 .

It is a cyclic number.

It is not a de Polignac number, because 251653 - 2⁵ = 251621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125826 + 125827.

It is an arithmetic number, because the mean of its divisors is an integer number (125827).

2²⁵¹⁶⁵³ is an apocalyptic number.

It is an amenable number.

251653 is a deficient number, since it is larger than the sum of its proper divisors (1).

251653 is an equidigital number, since it uses as much as digits as its factorization.

251653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 900, while the sum is 22.

The square root of 251653 is about 501.6502765872. The cubic root of 251653 is about 63.1345909030.

The spelling of 251653 in words is "two hundred fifty-one thousand, six hundred fifty-three".