351253 has 12 divisors (see below), whose sum is σ = 426720. Its totient is φ = 283176.

The previous prime is 351229. The next prime is 351257. The reversal of 351253 is 352153.

It is not a de Polignac number, because 351253 - 2⁹ = 350741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 351253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2458 + ... + 2596.

It is an arithmetic number, because the mean of its divisors is an integer number (35560).

2³⁵¹²⁵³ is an apocalyptic number.

It is an amenable number.

351253 is a deficient number, since it is larger than the sum of its proper divisors (75467).

351253 is a wasteful number, since it uses less digits than its factorization.

351253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

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

The square root of 351253 is about 592.6660104983. Note that the first 3 decimals coincide. The cubic root of 351253 is about 70.5569849280.

Subtracting 351253 from its reverse (352153), we obtain a square (900 = 30²).

The spelling of 351253 in words is "three hundred fifty-one thousand, two hundred fifty-three".