212827782625 has 16 divisors (see below), whose sum is σ = 266985315792. Its totient is φ = 169380019200.

The previous prime is 212827782599. The next prime is 212827782641. The reversal of 212827782625 is 526287728212.

212827782625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 78397760016 + 134430022609 = 279996^2 + 366647^2 .

It is not a de Polignac number, because 212827782625 - 2²⁵ = 212794228193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4386814 + ... + 4435063.

It is an arithmetic number, because the mean of its divisors is an integer number (16686582237).

Almost surely, 2^212827782625 is an apocalyptic number.

212827782625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212827782625 is a deficient number, since it is larger than the sum of its proper divisors (54157533167).

212827782625 is an equidigital number, since it uses as much as digits as its factorization.

212827782625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822085 (or 8822075 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 52.

The spelling of 212827782625 in words is "two hundred twelve billion, eight hundred twenty-seven million, seven hundred eighty-two thousand, six hundred twenty-five".