82633731572327 has 16 divisors (see below), whose sum is σ = 89443358625600. Its totient is φ = 75888896827392.

The previous prime is 82633731572309. The next prime is 82633731572417. The reversal of 82633731572327 is 72327513733628.

It is a cyclic number.

It is not a de Polignac number, because 82633731572327 - 2⁶ = 82633731572263 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82633731572627) 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, 37774823 + ... + 39902439.

It is an arithmetic number, because the mean of its divisors is an integer number (5590209914100).

Almost surely, 2^{82633731572327} is an apocalyptic number.

82633731572327 is a deficient number, since it is larger than the sum of its proper divisors (6809627053273).

82633731572327 is a wasteful number, since it uses less digits than its factorization.

82633731572327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142842.

The product of its digits is 53343360, while the sum is 59.

The spelling of 82633731572327 in words is "eighty-two trillion, six hundred thirty-three billion, seven hundred thirty-one million, five hundred seventy-two thousand, three hundred twenty-seven".