2254763102129 has 2 divisors, whose sum is σ = 2254763102130. Its totient is φ = 2254763102128.

The previous prime is 2254763102023. The next prime is 2254763102153. The reversal of 2254763102129 is 9212013674522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1305409077025 + 949354025104 = 1142545^2 + 974348^2 .

It is a cyclic number.

It is not a de Polignac number, because 2254763102129 - 2²⁰ = 2254762053553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2254763102129.

It is not a weakly prime, because it can be changed into another prime (2254763102629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1127381551064 + 1127381551065.

It is an arithmetic number, because the mean of its divisors is an integer number (1127381551065).

Almost surely, 2^{2254763102129} is an apocalyptic number.

It is an amenable number.

2254763102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2254763102129 is an equidigital number, since it uses as much as digits as its factorization.

2254763102129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 2254763102129 in words is "two trillion, two hundred fifty-four billion, seven hundred sixty-three million, one hundred two thousand, one hundred twenty-nine".