2505552593 has 2 divisors, whose sum is σ = 2505552594. Its totient is φ = 2505552592.

The previous prime is 2505552523. The next prime is 2505552617. The reversal of 2505552593 is 3952555052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2433251584 + 72301009 = 49328^2 + 8503^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505552593 - 2¹⁰ = 2505551569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2505552593.

It is not a weakly prime, because it can be changed into another prime (2505552523) 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, 1252776296 + 1252776297.

It is an arithmetic number, because the mean of its divisors is an integer number (1252776297).

Almost surely, 2^2505552593 is an apocalyptic number.

It is an amenable number.

2505552593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505552593 is an equidigital number, since it uses as much as digits as its factorization.

2505552593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 337500, while the sum is 41.

The square root of 2505552593 is about 50055.4951329022. The cubic root of 2505552593 is about 1358.2128690623.

The spelling of 2505552593 in words is "two billion, five hundred five million, five hundred fifty-two thousand, five hundred ninety-three".