312587739382801 has 27 divisors (see below), whose sum is σ = 317707890269553. Its totient is φ = 307549762675200.

The previous prime is 312587739382783. The next prime is 312587739382837. The reversal of 312587739382801 is 108283937785213.

The square root of 312587739382801 is 17680151.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30061260324225 + 282526479058576 = 5482815^2 + 16808524^2 .

It is not a de Polignac number, because 312587739382801 - 2⁵ = 312587739382769 is a prime.

It is a super-2 number, since 2×312587739382801² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312587739382861) 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, 344639182990 + ... + 344639183896.

Almost surely, 2^{312587739382801} is an apocalyptic number.

312587739382801 is the 17680151-st square number.

312587739382801 is the 8840076-th centered octagonal number.

It is an amenable number.

312587739382801 is a deficient number, since it is larger than the sum of its proper divisors (5120150886752).

312587739382801 is an frugal number, since it uses more digits than its factorization.

312587739382801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 67.

The spelling of 312587739382801 in words is "three hundred twelve trillion, five hundred eighty-seven billion, seven hundred thirty-nine million, three hundred eighty-two thousand, eight hundred one".