2005525055231 has 2 divisors, whose sum is σ = 2005525055232. Its totient is φ = 2005525055230.

The previous prime is 2005525055179. The next prime is 2005525055239. The reversal of 2005525055231 is 1325505255002.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005525055231 is a prime.

It is a super-2 number, since 2×2005525055231² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005525055191 and 2005525055200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005525055239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002762527615 + 1002762527616.

It is an arithmetic number, because the mean of its divisors is an integer number (1002762527616).

Almost surely, 2^{2005525055231} is an apocalyptic number.

2005525055231 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005525055231 is an equidigital number, since it uses as much as digits as its factorization.

2005525055231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75000, while the sum is 35.

The spelling of 2005525055231 in words is "two trillion, five billion, five hundred twenty-five million, fifty-five thousand, two hundred thirty-one".