82948765300633 has 16 divisors (see below), whose sum is σ = 88545996979200. Its totient is φ = 77474727484560.

The previous prime is 82948765300607. The next prime is 82948765300651. The reversal of 82948765300633 is 33600356784928.

It is a cyclic number.

It is not a de Polignac number, because 82948765300633 - 2¹³ = 82948765292441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82948765300433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71894610 + ... + 73039252.

It is an arithmetic number, because the mean of its divisors is an integer number (5534124811200).

Almost surely, 2^{82948765300633} is an apocalyptic number.

It is an amenable number.

82948765300633 is a deficient number, since it is larger than the sum of its proper divisors (5597231678567).

82948765300633 is a wasteful number, since it uses less digits than its factorization.

82948765300633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198452.

The product of its (nonzero) digits is 156764160, while the sum is 64.

The spelling of 82948765300633 in words is "eighty-two trillion, nine hundred forty-eight billion, seven hundred sixty-five million, three hundred thousand, six hundred thirty-three".