2505052223361 has 12 divisors (see below), whose sum is σ = 3654234597780. Its totient is φ = 1653499816800.

The previous prime is 2505052223339. The next prime is 2505052223369. The reversal of 2505052223361 is 1633222505052.

2505052223361 is a `hidden beast` number, since 2 + 5 + 0 + 50 + 522 + 23 + 3 + 61 = 666.

2505052223361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2086779595761 + 418272627600 = 1444569^2 + 646740^2 .

It is not a de Polignac number, because 2505052223361 - 2¹⁴ = 2505052206977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2505052223369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1377915606 + ... + 1377917423.

It is an arithmetic number, because the mean of its divisors is an integer number (304519549815).

Almost surely, 2^{2505052223361} is an apocalyptic number.

It is an amenable number.

2505052223361 is a deficient number, since it is larger than the sum of its proper divisors (1149182374419).

2505052223361 is a wasteful number, since it uses less digits than its factorization.

2505052223361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755833136 (or 2755833133 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2505052223361 in words is "two trillion, five hundred five billion, fifty-two million, two hundred twenty-three thousand, three hundred sixty-one".