312115153 has 12 divisors (see below), whose sum is σ = 366292260. Its totient is φ = 265155072.

The previous prime is 312115123. The next prime is 312115157. The reversal of 312115153 is 351511213.

It can be written as a sum of positive squares in 2 ways, for example, as 11716929 + 300398224 = 3423^2 + 17332^2 .

It is not a de Polignac number, because 312115153 - 2¹⁷ = 311984081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312115157) 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 11 ways as a sum of consecutive naturals, for example, 22648 + ... + 33721.

It is an arithmetic number, because the mean of its divisors is an integer number (30524355).

Almost surely, 2^312115153 is an apocalyptic number.

It is an amenable number.

312115153 is a deficient number, since it is larger than the sum of its proper divisors (54177107).

312115153 is a wasteful number, since it uses less digits than its factorization.

312115153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56496 (or 56489 counting only the distinct ones).

The product of its digits is 450, while the sum is 22.

The square root of 312115153 is about 17666.7810593781. The cubic root of 312115153 is about 678.3257202563.

Adding to 312115153 its reverse (351511213), we get a palindrome (663626366).

The spelling of 312115153 in words is "three hundred twelve million, one hundred fifteen thousand, one hundred fifty-three".