312005253 has 32 divisors (see below), whose sum is σ = 486017280. Its totient is φ = 174366720.

The previous prime is 312005227. The next prime is 312005257. The reversal of 312005253 is 352500213.

It is not a de Polignac number, because 312005253 - 2⁹ = 312004741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312005257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180433 + ... + 182153.

It is an arithmetic number, because the mean of its divisors is an integer number (15188040).

Almost surely, 2^312005253 is an apocalyptic number.

It is an amenable number.

312005253 is a deficient number, since it is larger than the sum of its proper divisors (174012027).

312005253 is a wasteful number, since it uses less digits than its factorization.

312005253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 312005253 is about 17663.6704283113. The cubic root of 312005253 is about 678.2460949989.

Adding to 312005253 its reverse (352500213), we get a palindrome (664505466).

The spelling of 312005253 in words is "three hundred twelve million, five thousand, two hundred fifty-three".