312461253 has 32 divisors (see below), whose sum is σ = 503148800. Its totient is φ = 190496448.

The previous prime is 312461239. The next prime is 312461257. The reversal of 312461253 is 352164213.

It is not a de Polignac number, because 312461253 - 2¹⁶ = 312395717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312461257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34176 + ... + 42342.

It is an arithmetic number, because the mean of its divisors is an integer number (15723400).

Almost surely, 2^312461253 is an apocalyptic number.

It is an amenable number.

312461253 is a deficient number, since it is larger than the sum of its proper divisors (190687547).

312461253 is a wasteful number, since it uses less digits than its factorization.

312461253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8292 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 312461253 is about 17676.5735650323. The cubic root of 312461253 is about 678.5763561790.

The spelling of 312461253 in words is "three hundred twelve million, four hundred sixty-one thousand, two hundred fifty-three".