2505433116736 has 63 divisors (see below), whose sum is σ = 5465085701887. Its totient is φ = 1138769920640.

The previous prime is 2505433116707. The next prime is 2505433116737. The reversal of 2505433116736 is 6376113345052.

The square root of 2505433116736 is 1582856.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2505433116737) 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 in 8 ways as a sum of consecutive naturals, for example, 139282335 + ... + 139300321.

Almost surely, 2^{2505433116736} is an apocalyptic number.

2505433116736 is the 1582856-th square number.

It is an amenable number.

2505433116736 is an abundant number, since it is smaller than the sum of its proper divisors (2959652585151).

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

2505433116736 is an frugal number, since it uses more digits than its factorization.

2505433116736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36008 (or 18000 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 2505433116736 in words is "two trillion, five hundred five billion, four hundred thirty-three million, one hundred sixteen thousand, seven hundred thirty-six".