312965281489 has 27 divisors (see below), whose sum is σ = 366699943323. Its totient is φ = 267104642448.

The previous prime is 312965281487. The next prime is 312965281507. The reversal of 312965281489 is 984182569213.

It is a happy number.

The square root of 312965281489 is 559433.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63556931025 + 249408350464 = 252105^2 + 499408^2 .

It is not a de Polignac number, because 312965281489 - 2¹ = 312965281487 is a prime.

It is a super-3 number, since 3×312965281489³ (a number of 35 digits) contains 333 as substring.

Its product of digits (7464960) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (312965281487) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1343198517 + ... + 1343198749.

Almost surely, 2^312965281489 is an apocalyptic number.

312965281489 is the 559433-rd square number.

312965281489 is the 279717-th centered octagonal number.

It is an amenable number.

312965281489 is a deficient number, since it is larger than the sum of its proper divisors (53734661834).

312965281489 is an frugal number, since it uses more digits than its factorization.

312965281489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 240 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 58.

The spelling of 312965281489 in words is "three hundred twelve billion, nine hundred sixty-five million, two hundred eighty-one thousand, four hundred eighty-nine".