82244136501 has 24 divisors (see below), whose sum is σ = 120840545280. Its totient is φ = 53892517536.

The previous prime is 82244136431. The next prime is 82244136523. The reversal of 82244136501 is 10563144228.

It is a happy number.

82244136501 is a `hidden beast` number, since 82 + 2 + 4 + 41 + 36 + 501 = 666.

It is not a de Polignac number, because 82244136501 - 2⁹ = 82244135989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82244136551) 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, 100806 + ... + 417911.

It is an arithmetic number, because the mean of its divisors is an integer number (5035022720).

Almost surely, 2^82244136501 is an apocalyptic number.

It is an amenable number.

82244136501 is a deficient number, since it is larger than the sum of its proper divisors (38596408779).

82244136501 is a wasteful number, since it uses less digits than its factorization.

82244136501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519025 (or 519022 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 82244136501 in words is "eighty-two billion, two hundred forty-four million, one hundred thirty-six thousand, five hundred one".