82973499201 has 16 divisors (see below), whose sum is σ = 122930121600. Its totient is φ = 55312777584.

The previous prime is 82973499197. The next prime is 82973499229. The reversal of 82973499201 is 10299437928.

82973499201 is a `hidden beast` number, since 8 + 2 + 97 + 349 + 9 + 201 = 666.

It is not a de Polignac number, because 82973499201 - 2² = 82973499197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82973499251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531060 + ... + 669306.

It is an arithmetic number, because the mean of its divisors is an integer number (7683132600).

Almost surely, 2^82973499201 is an apocalyptic number.

It is an amenable number.

82973499201 is a deficient number, since it is larger than the sum of its proper divisors (39956622399).

82973499201 is a wasteful number, since it uses less digits than its factorization.

82973499201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160485 (or 160479 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 82973499201 in words is "eighty-two billion, nine hundred seventy-three million, four hundred ninety-nine thousand, two hundred one".