493772129 has 2 divisors, whose sum is σ = 493772130. Its totient is φ = 493772128.

The previous prime is 493772117. The next prime is 493772131. The reversal of 493772129 is 921277394.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 371448529 + 122323600 = 19273^2 + 11060^2 .

It is a cyclic number.

It is not a de Polignac number, because 493772129 - 2²⁸ = 225336673 is a prime.

Together with 493772131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 493772129.

It is not a weakly prime, because it can be changed into another prime (493772159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 246886064 + 246886065.

It is an arithmetic number, because the mean of its divisors is an integer number (246886065).

Almost surely, 2^493772129 is an apocalyptic number.

It is an amenable number.

493772129 is a deficient number, since it is larger than the sum of its proper divisors (1).

493772129 is an equidigital number, since it uses as much as digits as its factorization.

493772129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 190512, while the sum is 44.

The square root of 493772129 is about 22220.9839791131. The cubic root of 493772129 is about 790.3913720676.

The spelling of 493772129 in words is "four hundred ninety-three million, seven hundred seventy-two thousand, one hundred twenty-nine".