254861564101 has 2 divisors, whose sum is σ = 254861564102. Its totient is φ = 254861564100.

The previous prime is 254861564099. The next prime is 254861564107. The reversal of 254861564101 is 101465168452.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 233843813476 + 21017750625 = 483574^2 + 144975^2 .

It is a cyclic number.

It is not a de Polignac number, because 254861564101 - 2¹ = 254861564099 is a prime.

Together with 254861564099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (254861564107) 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, 127430782050 + 127430782051.

It is an arithmetic number, because the mean of its divisors is an integer number (127430782051).

Almost surely, 2^254861564101 is an apocalyptic number.

It is an amenable number.

254861564101 is a deficient number, since it is larger than the sum of its proper divisors (1).

254861564101 is an equidigital number, since it uses as much as digits as its factorization.

254861564101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 254861564101 in words is "two hundred fifty-four billion, eight hundred sixty-one million, five hundred sixty-four thousand, one hundred one".