34431404100253 has 2 divisors, whose sum is σ = 34431404100254. Its totient is φ = 34431404100252.

The previous prime is 34431404100221. The next prime is 34431404100323. The reversal of 34431404100253 is 35200140413443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21254700119524 + 13176703980729 = 4610282^2 + 3629973^2 .

It is a cyclic number.

It is not a de Polignac number, because 34431404100253 - 2⁵ = 34431404100221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34431404100053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17215702050126 + 17215702050127.

It is an arithmetic number, because the mean of its divisors is an integer number (17215702050127).

Almost surely, 2^{34431404100253} is an apocalyptic number.

It is an amenable number.

34431404100253 is a deficient number, since it is larger than the sum of its proper divisors (1).

34431404100253 is an equidigital number, since it uses as much as digits as its factorization.

34431404100253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 34431404100253 its reverse (35200140413443), we get a palindrome (69631544513696).

The spelling of 34431404100253 in words is "thirty-four trillion, four hundred thirty-one billion, four hundred four million, one hundred thousand, two hundred fifty-three".