413142410213053 has 2 divisors, whose sum is σ = 413142410213054. Its totient is φ = 413142410213052.

The previous prime is 413142410212991. The next prime is 413142410213059. The reversal of 413142410213053 is 350312014241314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229938009981849 + 183204400231204 = 15163707^2 + 13535302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413142410213053 is a prime.

It is a super-2 number, since 2×413142410213053² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413142410213059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206571205106526 + 206571205106527.

It is an arithmetic number, because the mean of its divisors is an integer number (206571205106527).

Almost surely, 2^{413142410213053} is an apocalyptic number.

It is an amenable number.

413142410213053 is a deficient number, since it is larger than the sum of its proper divisors (1).

413142410213053 is an equidigital number, since it uses as much as digits as its factorization.

413142410213053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 413142410213053 its reverse (350312014241314), we get a palindrome (763454424454367).

The spelling of 413142410213053 in words is "four hundred thirteen trillion, one hundred forty-two billion, four hundred ten million, two hundred thirteen thousand, fifty-three".