311157781312225 has 27 divisors (see below), whose sum is σ = 388911646863507. Its totient is φ = 246957285642480.

The previous prime is 311157781312073. The next prime is 311157781312249. The reversal of 311157781312225 is 522213187751113.

The square root of 311157781312225 is 17639665.

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., 112016801272401 + 199140980039824 = 10583799^2 + 14111732^2 .

It is not a de Polignac number, because 311157781312225 - 2⁴⁷ = 170420292956897 is a prime.

It is a super-2 number, since 2×311157781312225² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11201173386 + ... + 11201201164.

Almost surely, 2^{311157781312225} is an apocalyptic number.

311157781312225 is the 17639665-th square number.

311157781312225 is the 8819833-rd centered octagonal number.

It is an amenable number.

311157781312225 is a deficient number, since it is larger than the sum of its proper divisors (77753865551282).

311157781312225 is an frugal number, since it uses more digits than its factorization.

311157781312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55822 (or 27911 counting only the distinct ones).

The product of its digits is 705600, while the sum is 49.

The spelling of 311157781312225 in words is "three hundred eleven trillion, one hundred fifty-seven billion, seven hundred eighty-one million, three hundred twelve thousand, two hundred twenty-five".