2042414305153 has 2 divisors, whose sum is σ = 2042414305154. Its totient is φ = 2042414305152.

The previous prime is 2042414305109. The next prime is 2042414305213. The reversal of 2042414305153 is 3515034142402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1116090828304 + 926323476849 = 1056452^2 + 962457^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042414305153 - 2²⁵ = 2042380750721 is a prime.

It is a super-2 number, since 2×2042414305153² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2042414315153) 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, 1021207152576 + 1021207152577.

It is an arithmetic number, because the mean of its divisors is an integer number (1021207152577).

Almost surely, 2^{2042414305153} is an apocalyptic number.

It is an amenable number.

2042414305153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042414305153 is an equidigital number, since it uses as much as digits as its factorization.

2042414305153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 2042414305153 its reverse (3515034142402), we get a palindrome (5557448447555).

The spelling of 2042414305153 in words is "two trillion, forty-two billion, four hundred fourteen million, three hundred five thousand, one hundred fifty-three".