405716253101 has 2 divisors, whose sum is σ = 405716253102. Its totient is φ = 405716253100.

The previous prime is 405716253083. The next prime is 405716253109. The reversal of 405716253101 is 101352617504.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379793643076 + 25922610025 = 616274^2 + 161005^2 .

It is a cyclic number.

It is not a de Polignac number, because 405716253101 - 2⁶ = 405716253037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405716253109) 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 as a sum of consecutive naturals, namely, 202858126550 + 202858126551.

It is an arithmetic number, because the mean of its divisors is an integer number (202858126551).

Almost surely, 2^405716253101 is an apocalyptic number.

It is an amenable number.

405716253101 is a deficient number, since it is larger than the sum of its proper divisors (1).

405716253101 is an equidigital number, since it uses as much as digits as its factorization.

405716253101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 405716253101 in words is "four hundred five billion, seven hundred sixteen million, two hundred fifty-three thousand, one hundred one".