414013202353 has 2 divisors, whose sum is σ = 414013202354. Its totient is φ = 414013202352.

The previous prime is 414013202341. The next prime is 414013202359. The reversal of 414013202353 is 353202310414.

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., 403825933729 + 10187268624 = 635473^2 + 100932^2 .

It is a cyclic number.

It is not a de Polignac number, because 414013202353 - 2⁹ = 414013201841 is a prime.

It is a super-2 number, since 2×414013202353² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414013202359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207006601176 + 207006601177.

It is an arithmetic number, because the mean of its divisors is an integer number (207006601177).

Almost surely, 2^414013202353 is an apocalyptic number.

It is an amenable number.

414013202353 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013202353 is an equidigital number, since it uses as much as digits as its factorization.

414013202353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 414013202353 its reverse (353202310414), we get a palindrome (767215512767).

The spelling of 414013202353 in words is "four hundred fourteen billion, thirteen million, two hundred two thousand, three hundred fifty-three".