212417944625 has 16 divisors (see below), whose sum is σ = 265254075216. Its totient is φ = 169834048000.

The previous prime is 212417944513. The next prime is 212417944633. The reversal of 212417944625 is 526449714212.

It can be written as a sum of positive squares in 8 ways, for example, as 50643451681 + 161774492944 = 225041^2 + 402212^2 .

It is not a de Polignac number, because 212417944625 - 2¹⁴ = 212417928241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212417944625.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 288566 + ... + 712815.

It is an arithmetic number, because the mean of its divisors is an integer number (16578379701).

Almost surely, 2^212417944625 is an apocalyptic number.

212417944625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212417944625 is a deficient number, since it is larger than the sum of its proper divisors (52836130591).

212417944625 is a wasteful number, since it uses less digits than its factorization.

212417944625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003093 (or 1003083 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The spelling of 212417944625 in words is "two hundred twelve billion, four hundred seventeen million, nine hundred forty-four thousand, six hundred twenty-five".