2505585521 has 2 divisors, whose sum is σ = 2505585522. Its totient is φ = 2505585520.

The previous prime is 2505585503. The next prime is 2505585581. The reversal of 2505585521 is 1255855052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1957089121 + 548496400 = 44239^2 + 23420^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505585521 - 2²⁶ = 2438476657 is a prime.

It is not a weakly prime, because it can be changed into another prime (2505585581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252792760 + 1252792761.

It is an arithmetic number, because the mean of its divisors is an integer number (1252792761).

Almost surely, 2^2505585521 is an apocalyptic number.

It is an amenable number.

2505585521 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505585521 is an equidigital number, since it uses as much as digits as its factorization.

2505585521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100000, while the sum is 38.

The square root of 2505585521 is about 50055.8240467580. The cubic root of 2505585521 is about 1358.2188189191.

The spelling of 2505585521 in words is "two billion, five hundred five million, five hundred eighty-five thousand, five hundred twenty-one".