210056305761 has 27 divisors (see below), whose sum is σ = 311912234361. Its totient is φ = 136219739904.

The previous prime is 210056305759. The next prime is 210056305787. The reversal of 210056305761 is 167503650012.

The square root of 210056305761 is 458319.

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

210056305761 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 56 + 30 + 576 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49771379025 + 160284926736 = 223095^2 + 400356^2 .

It is not a de Polignac number, because 210056305761 - 2¹ = 210056305759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210056305751) 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 26 ways as a sum of consecutive naturals, for example, 50871345 + ... + 50875473.

Almost surely, 2^210056305761 is an apocalyptic number.

210056305761 is the 458319-th square number.

210056305761 is the 229160-th centered octagonal number.

It is an amenable number.

210056305761 is a deficient number, since it is larger than the sum of its proper divisors (101855928600).

210056305761 is an frugal number, since it uses more digits than its factorization.

210056305761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 210056305761 by its sum of digits (36), we get a square (7562027007396 = 2749914²).

Adding to 210056305761 its reverse (167503650012), we get a palindrome (377559955773).

The spelling of 210056305761 in words is "two hundred ten billion, fifty-six million, three hundred five thousand, seven hundred sixty-one".