2005534127751 has 32 divisors (see below), whose sum is σ = 3350798212608. Its totient is φ = 1036547379840.

The previous prime is 2005534127749. The next prime is 2005534127777. The reversal of 2005534127751 is 1577214355002.

It is a happy number.

It is not a de Polignac number, because 2005534127751 - 2¹ = 2005534127749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005534126751) 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, 21989940 + ... + 22080953.

It is an arithmetic number, because the mean of its divisors is an integer number (104712444144).

Almost surely, 2^{2005534127751} is an apocalyptic number.

2005534127751 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2005534127751 is a deficient number, since it is larger than the sum of its proper divisors (1345264084857).

2005534127751 is a wasteful number, since it uses less digits than its factorization.

2005534127751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44071111.

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 2005534127751 in words is "two trillion, five billion, five hundred thirty-four million, one hundred twenty-seven thousand, seven hundred fifty-one".