254221152512213 has 2 divisors, whose sum is σ = 254221152512214. Its totient is φ = 254221152512212.

The previous prime is 254221152512207. The next prime is 254221152512251. The reversal of 254221152512213 is 312215251122452.

It is an a-pointer prime, because the next prime (254221152512251) can be obtained adding 254221152512213 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237299760184369 + 16921392327844 = 15404537^2 + 4113562^2 .

It is a cyclic number.

It is not a de Polignac number, because 254221152512213 - 2²⁶ = 254221085403349 is a prime.

It is a super-2 number, since 2×254221152512213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (254221152514213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127110576256106 + 127110576256107.

It is an arithmetic number, because the mean of its divisors is an integer number (127110576256107).

Almost surely, 2^{254221152512213} is an apocalyptic number.

It is an amenable number.

254221152512213 is a deficient number, since it is larger than the sum of its proper divisors (1).

254221152512213 is an equidigital number, since it uses as much as digits as its factorization.

254221152512213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96000, while the sum is 38.

The spelling of 254221152512213 in words is "two hundred fifty-four trillion, two hundred twenty-one billion, one hundred fifty-two million, five hundred twelve thousand, two hundred thirteen".