2505280002753 has 16 divisors (see below), whose sum is σ = 3802480321536. Its totient is φ = 1452336233040.

The previous prime is 2505280002697. The next prime is 2505280002817. The reversal of 2505280002753 is 3572000825052.

It is not a de Polignac number, because 2505280002753 - 2⁹ = 2505280002241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505280002553) 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 15 ways as a sum of consecutive naturals, for example, 1650381325 + ... + 1650382842.

It is an arithmetic number, because the mean of its divisors is an integer number (237655020096).

Almost surely, 2^{2505280002753} is an apocalyptic number.

2505280002753 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2505280002753 is a deficient number, since it is larger than the sum of its proper divisors (1297200318783).

2505280002753 is a wasteful number, since it uses less digits than its factorization.

2505280002753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300764204.

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 2505280002753 in words is "two trillion, five hundred five billion, two hundred eighty million, two thousand, seven hundred fifty-three".