2505357780073 has 2 divisors, whose sum is σ = 2505357780074. Its totient is φ = 2505357780072.

The previous prime is 2505357780031. The next prime is 2505357780187. The reversal of 2505357780073 is 3700877535052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2315424809104 + 189932970969 = 1521652^2 + 435813^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505357780073 - 2²⁹ = 2504820909161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2505357780073.

It is not a weakly prime, because it can be changed into another prime (2505357780973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252678890036 + 1252678890037.

It is an arithmetic number, because the mean of its divisors is an integer number (1252678890037).

Almost surely, 2^{2505357780073} is an apocalyptic number.

It is an amenable number.

2505357780073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505357780073 is an equidigital number, since it uses as much as digits as its factorization.

2505357780073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6174000, while the sum is 52.

The spelling of 2505357780073 in words is "two trillion, five hundred five billion, three hundred fifty-seven million, seven hundred eighty thousand, seventy-three".