82293527241 has 24 divisors (see below), whose sum is σ = 125695664640. Its totient is φ = 51797649600.

The previous prime is 82293527221. The next prime is 82293527243. The reversal of 82293527241 is 14272539228.

82293527241 is a `hidden beast` number, since 8 + 229 + 352 + 72 + 4 + 1 = 666.

It is not a de Polignac number, because 82293527241 - 2⁵ = 82293527209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82293527243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3585621 + ... + 3608498.

It is an arithmetic number, because the mean of its divisors is an integer number (5237319360).

Almost surely, 2^82293527241 is an apocalyptic number.

It is an amenable number.

82293527241 is a deficient number, since it is larger than the sum of its proper divisors (43402137399).

82293527241 is a wasteful number, since it uses less digits than its factorization.

82293527241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7194197 (or 7194194 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 82293527241 in words is "eighty-two billion, two hundred ninety-three million, five hundred twenty-seven thousand, two hundred forty-one".