33144040440253 has 2 divisors, whose sum is σ = 33144040440254. Its totient is φ = 33144040440252.

The previous prime is 33144040440109. The next prime is 33144040440347. The reversal of 33144040440253 is 35204404044133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25040436337764 + 8103604102489 = 5004042^2 + 2846683^2 .

It is an emirp because it is prime and its reverse (35204404044133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33144040440253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33144020440253) 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, 16572020220126 + 16572020220127.

It is an arithmetic number, because the mean of its divisors is an integer number (16572020220127).

Almost surely, 2^{33144040440253} is an apocalyptic number.

It is an amenable number.

33144040440253 is a deficient number, since it is larger than the sum of its proper divisors (1).

33144040440253 is an equidigital number, since it uses as much as digits as its factorization.

33144040440253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 33144040440253 its reverse (35204404044133), we get a palindrome (68348444484386).

The spelling of 33144040440253 in words is "thirty-three trillion, one hundred forty-four billion, forty million, four hundred forty thousand, two hundred fifty-three".