42786400534529 has 2 divisors, whose sum is σ = 42786400534530. Its totient is φ = 42786400534528.

The previous prime is 42786400534517. The next prime is 42786400534531. The reversal of 42786400534529 is 92543500468724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41665385446129 + 1121015088400 = 6454873^2 + 1058780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42786400534529 is a prime.

It is a super-2 number, since 2×42786400534529² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 42786400534531, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (42786400534429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21393200267264 + 21393200267265.

It is an arithmetic number, because the mean of its divisors is an integer number (21393200267265).

Almost surely, 2^{42786400534529} is an apocalyptic number.

It is an amenable number.

42786400534529 is a deficient number, since it is larger than the sum of its proper divisors (1).

42786400534529 is an equidigital number, since it uses as much as digits as its factorization.

42786400534529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58060800, while the sum is 59.

The spelling of 42786400534529 in words is "forty-two trillion, seven hundred eighty-six billion, four hundred million, five hundred thirty-four thousand, five hundred twenty-nine".