312006030625 has 15 divisors (see below), whose sum is σ = 389900186533. Its totient is φ = 249593653000.

The previous prime is 312006030607. The next prime is 312006030641. The reversal of 312006030625 is 526030600213.

The square root of 312006030625 is 558575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 24461272801 + 287544757824 = 156401^2 + 536232^2 .

It is not a de Polignac number, because 312006030625 - 2¹¹ = 312006028577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312006030593 and 312006030602.

It is an unprimeable number.

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 in 14 ways as a sum of consecutive naturals, for example, 13953204 + ... + 13975546.

Almost surely, 2^312006030625 is an apocalyptic number.

312006030625 is the 558575-th square number.

312006030625 is the 279288-th centered octagonal number.

It is an amenable number.

312006030625 is a deficient number, since it is larger than the sum of its proper divisors (77894155908).

312006030625 is an frugal number, since it uses more digits than its factorization.

312006030625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44706 (or 22348 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 312006030625 its reverse (526030600213), we get a palindrome (838036630838).

The spelling of 312006030625 in words is "three hundred twelve billion, six million, thirty thousand, six hundred twenty-five".