81825222249 has 40 divisors (see below), whose sum is σ = 124497616320. Its totient is φ = 53546119200.

The previous prime is 81825222247. The next prime is 81825222277. The reversal of 81825222249 is 94222252818.

81825222249 is a `hidden beast` number, since 8 + 1 + 82 + 522 + 2 + 2 + 49 = 666.

It is not a de Polignac number, because 81825222249 - 2¹ = 81825222247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81825222247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1285914 + ... + 1348044.

It is an arithmetic number, because the mean of its divisors is an integer number (3112440408).

Almost surely, 2^81825222249 is an apocalyptic number.

It is an amenable number.

81825222249 is a deficient number, since it is larger than the sum of its proper divisors (42672394071).

81825222249 is a wasteful number, since it uses less digits than its factorization.

81825222249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62443 (or 62434 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 81825222249 in words is "eighty-one billion, eight hundred twenty-five million, two hundred twenty-two thousand, two hundred forty-nine".