157253 has 2 divisors, whose sum is σ = 157254. Its totient is φ = 157252.

The previous prime is 157247. The next prime is 157259. The reversal of 157253 is 352751.

157253 is nontrivially palindromic in base 13.

157253 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a balanced prime because it is at equal distance from previous prime (157247) and next prime (157259).

It can be written as a sum of positive squares in only one way, i.e., 91204 + 66049 = 302^2 + 257^2 .

It is a cyclic number.

It is not a de Polignac number, because 157253 - 2⁶ = 157189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78626 + 78627.

It is an arithmetic number, because the mean of its divisors is an integer number (78627).

2¹⁵⁷²⁵³ is an apocalyptic number.

It is an amenable number.

157253 is a deficient number, since it is larger than the sum of its proper divisors (1).

157253 is an equidigital number, since it uses as much as digits as its factorization.

157253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1050, while the sum is 23.

The square root of 157253 is about 396.5513838079. The cubic root of 157253 is about 53.9758694197.

The spelling of 157253 in words is "one hundred fifty-seven thousand, two hundred fifty-three".