2780505520253 has 2 divisors, whose sum is σ = 2780505520254. Its totient is φ = 2780505520252.

The previous prime is 2780505520241. The next prime is 2780505520283. The reversal of 2780505520253 is 3520255050872.

2780505520253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1635644039929 + 1144861480324 = 1278923^2 + 1069982^2 .

It is a cyclic number.

It is not a de Polignac number, because 2780505520253 - 2⁶ = 2780505520189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2780505520283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1390252760126 + 1390252760127.

It is an arithmetic number, because the mean of its divisors is an integer number (1390252760127).

Almost surely, 2^{2780505520253} is an apocalyptic number.

It is an amenable number.

2780505520253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2780505520253 is an equidigital number, since it uses as much as digits as its factorization.

2780505520253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840000, while the sum is 44.

The spelling of 2780505520253 in words is "two trillion, seven hundred eighty billion, five hundred five million, five hundred twenty thousand, two hundred fifty-three".