164825728921331 has 2 divisors, whose sum is σ = 164825728921332. Its totient is φ = 164825728921330.

The previous prime is 164825728921319. The next prime is 164825728921333. The reversal of 164825728921331 is 133129827528461.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164825728921331 is a prime.

It is a super-2 number, since 2×164825728921331² (a number of 29 digits) contains 22 as substring.

Together with 164825728921333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164825728921333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82412864460665 + 82412864460666.

It is an arithmetic number, because the mean of its divisors is an integer number (82412864460666).

Almost surely, 2^{164825728921331} is an apocalyptic number.

164825728921331 is a deficient number, since it is larger than the sum of its proper divisors (1).

164825728921331 is an equidigital number, since it uses as much as digits as its factorization.

164825728921331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34836480, while the sum is 62.

The spelling of 164825728921331 in words is "one hundred sixty-four trillion, eight hundred twenty-five billion, seven hundred twenty-eight million, nine hundred twenty-one thousand, three hundred thirty-one".