2653525410209 has 2 divisors, whose sum is σ = 2653525410210. Its totient is φ = 2653525410208.

The previous prime is 2653525410131. The next prime is 2653525410281. The reversal of 2653525410209 is 9020145253562.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2488279095184 + 165246315025 = 1577428^2 + 406505^2 .

It is a cyclic number.

It is not a de Polignac number, because 2653525410209 - 2²⁰ = 2653524361633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2653525410209.

It is not a weakly prime, because it can be changed into another prime (2653525410509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1326762705104 + 1326762705105.

It is an arithmetic number, because the mean of its divisors is an integer number (1326762705105).

Almost surely, 2^{2653525410209} is an apocalyptic number.

It is an amenable number.

2653525410209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2653525410209 is an equidigital number, since it uses as much as digits as its factorization.

2653525410209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 2653525410209 in words is "two trillion, six hundred fifty-three billion, five hundred twenty-five million, four hundred ten thousand, two hundred nine".