2505505356 has 72 divisors (see below), whose sum is σ = 6713506800. Its totient is φ = 785150976.

The previous prime is 2505505337. The next prime is 2505505417. The reversal of 2505505356 is 6535055052.

2505505356 is a `hidden beast` number, since 2 + 5 + 0 + 550 + 53 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2505505356.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 724720 + ... + 728168.

It is an arithmetic number, because the mean of its divisors is an integer number (93243150).

Almost surely, 2^2505505356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505505356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356753400).

2505505356 is an abundant number, since it is smaller than the sum of its proper divisors (4208001444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2505505356 is a wasteful number, since it uses less digits than its factorization.

2505505356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The square root of 2505505356 is about 50055.0232843818. The cubic root of 2505505356 is about 1358.2043335793.

The spelling of 2505505356 in words is "two billion, five hundred five million, five hundred five thousand, three hundred fifty-six".