2551721100233 has 2 divisors, whose sum is σ = 2551721100234. Its totient is φ = 2551721100232.

The previous prime is 2551721100199. The next prime is 2551721100277. The reversal of 2551721100233 is 3320011271552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2156442321289 + 395278778944 = 1468483^2 + 628712^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551721100233 - 2⁶ = 2551721100169 is a prime.

It is a super-2 number, since 2×2551721100233² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2551721100233.

It is not a weakly prime, because it can be changed into another prime (2551721120233) 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, 1275860550116 + 1275860550117.

It is an arithmetic number, because the mean of its divisors is an integer number (1275860550117).

Almost surely, 2^{2551721100233} is an apocalyptic number.

It is an amenable number.

2551721100233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551721100233 is an equidigital number, since it uses as much as digits as its factorization.

2551721100233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 2551721100233 its reverse (3320011271552), we get a palindrome (5871732371785).

The spelling of 2551721100233 in words is "two trillion, five hundred fifty-one billion, seven hundred twenty-one million, one hundred thousand, two hundred thirty-three".