2505712838001 has 32 divisors (see below), whose sum is σ = 3440875334400. Its totient is φ = 1621291186944.

The previous prime is 2505712837919. The next prime is 2505712838009. The reversal of 2505712838001 is 1008382175052.

2505712838001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505712838001 - 2¹¹ = 2505712835953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505712838009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245015 + ... + 5702771.

It is an arithmetic number, because the mean of its divisors is an integer number (107527354200).

Almost surely, 2^{2505712838001} is an apocalyptic number.

It is an amenable number.

2505712838001 is a deficient number, since it is larger than the sum of its proper divisors (935162496399).

2505712838001 is a wasteful number, since it uses less digits than its factorization.

2505712838001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458185.

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 2505712838001 in words is "two trillion, five hundred five billion, seven hundred twelve million, eight hundred thirty-eight thousand, one".