2277120304153 has 2 divisors, whose sum is σ = 2277120304154. Its totient is φ = 2277120304152.

The previous prime is 2277120304087. The next prime is 2277120304169. The reversal of 2277120304153 is 3514030217722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2002247640064 + 274872664089 = 1415008^2 + 524283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2277120304153 is a prime.

It is not a weakly prime, because it can be changed into another prime (2277120304253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1138560152076 + 1138560152077.

It is an arithmetic number, because the mean of its divisors is an integer number (1138560152077).

Almost surely, 2^{2277120304153} is an apocalyptic number.

It is an amenable number.

2277120304153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2277120304153 is an equidigital number, since it uses as much as digits as its factorization.

2277120304153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 2277120304153 in words is "two trillion, two hundred seventy-seven billion, one hundred twenty million, three hundred four thousand, one hundred fifty-three".