312122753 has 2 divisors, whose sum is σ = 312122754. Its totient is φ = 312122752.

The previous prime is 312122749. The next prime is 312122779. The reversal of 312122753 is 357221213.

It is an a-pointer prime, because the next prime (312122779) can be obtained adding 312122753 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295049329 + 17073424 = 17177^2 + 4132^2 .

It is an emirp because it is prime and its reverse (357221213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312122753 - 2² = 312122749 is a prime.

It is a super-2 number, since 2×312122753² = 194841225880598018, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312122743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061376 + 156061377.

It is an arithmetic number, because the mean of its divisors is an integer number (156061377).

Almost surely, 2^312122753 is an apocalyptic number.

It is an amenable number.

312122753 is a deficient number, since it is larger than the sum of its proper divisors (1).

312122753 is an equidigital number, since it uses as much as digits as its factorization.

312122753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 26.

The square root of 312122753 is about 17666.9961510156. The cubic root of 312122753 is about 678.3312259525.

Adding to 312122753 its reverse (357221213), we get a palindrome (669343966).

The spelling of 312122753 in words is "three hundred twelve million, one hundred twenty-two thousand, seven hundred fifty-three".