2505550513311 has 24 divisors (see below), whose sum is σ = 3725428608720. Its totient is φ = 1621955252736.

The previous prime is 2505550513309. The next prime is 2505550513337. The reversal of 2505550513311 is 1133150555052.

2505550513311 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 5 + 505 + 133 + 11 = 666.

It is not a de Polignac number, because 2505550513311 - 2¹ = 2505550513309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505550513511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27029641 + ... + 27122178.

It is an arithmetic number, because the mean of its divisors is an integer number (155226192030).

Almost surely, 2^{2505550513311} is an apocalyptic number.

2505550513311 is a deficient number, since it is larger than the sum of its proper divisors (1219878095409).

2505550513311 is a wasteful number, since it uses less digits than its factorization.

2505550513311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54151975 (or 54151972 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 2505550513311 in words is "two trillion, five hundred five billion, five hundred fifty million, five hundred thirteen thousand, three hundred eleven".