2505566101 has 2 divisors, whose sum is σ = 2505566102. Its totient is φ = 2505566100.

The previous prime is 2505566087. The next prime is 2505566143. The reversal of 2505566101 is 1016655052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1891815025 + 613751076 = 43495^2 + 24774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505566101 - 2¹¹ = 2505564053 is a prime.

It is a super-2 number, since 2×2505566101² = 12555722972960684402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505563101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252783050 + 1252783051.

It is an arithmetic number, because the mean of its divisors is an integer number (1252783051).

Almost surely, 2^2505566101 is an apocalyptic number.

It is an amenable number.

2505566101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505566101 is an equidigital number, since it uses as much as digits as its factorization.

2505566101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 2505566101 is about 50055.6300629609. The cubic root of 2505566101 is about 1358.2153098687.

The spelling of 2505566101 in words is "two billion, five hundred five million, five hundred sixty-six thousand, one hundred one".