312505263 has 32 divisors (see below), whose sum is σ = 532331520. Its totient is φ = 177487200.

The previous prime is 312505253. The next prime is 312505267. The reversal of 312505263 is 362505213.

It is not a de Polignac number, because 312505263 - 2¹⁷ = 312374191 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312505267) 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, 26613 + ... + 36513.

It is an arithmetic number, because the mean of its divisors is an integer number (16635360).

Almost surely, 2^312505263 is an apocalyptic number.

312505263 is a deficient number, since it is larger than the sum of its proper divisors (219826257).

312505263 is a wasteful number, since it uses less digits than its factorization.

312505263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 312505263 is about 17677.8183891565. The cubic root of 312505263 is about 678.6082137220.

The spelling of 312505263 in words is "three hundred twelve million, five hundred five thousand, two hundred sixty-three".