212628337131961 has 9 divisors (see below), whose sum is σ = 212899626514029. Its totient is φ = 212357393059200.

The previous prime is 212628337131877. The next prime is 212628337132021. The reversal of 212628337131961 is 169131733826212.

The square root of 212628337131961 is 14581781.

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 29869842939561 + 182758494192400 = 5465331^2 + 13518820^2 .

It is not a de Polignac number, because 212628337131961 - 2³³ = 212619747197369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212628337131361) 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 8 ways as a sum of consecutive naturals, for example, 11971633321 + ... + 11971651081.

Almost surely, 2^{212628337131961} is an apocalyptic number.

212628337131961 is the 14581781-st square number.

212628337131961 is the 7290891-st centered octagonal number.

It is an amenable number.

212628337131961 is a deficient number, since it is larger than the sum of its proper divisors (271289382068).

212628337131961 is an frugal number, since it uses more digits than its factorization.

212628337131961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37164 (or 18582 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 55.

The spelling of 212628337131961 in words is "two hundred twelve trillion, six hundred twenty-eight billion, three hundred thirty-seven million, one hundred thirty-one thousand, nine hundred sixty-one".