2005261631 has 2 divisors, whose sum is σ = 2005261632. Its totient is φ = 2005261630.

The previous prime is 2005261603. The next prime is 2005261649. The reversal of 2005261631 is 1361625002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2005261631 - 2¹⁴ = 2005245247 is a prime.

It is a super-2 number, since 2×2005261631² = 8042148417521560322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005261631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005261651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002630815 + 1002630816.

It is an arithmetic number, because the mean of its divisors is an integer number (1002630816).

Almost surely, 2^2005261631 is an apocalyptic number.

2005261631 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005261631 is an equidigital number, since it uses as much as digits as its factorization.

2005261631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2005261631 is about 44780.1477331194. The cubic root of 2005261631 is about 1261.0249556782.

Adding to 2005261631 its reverse (1361625002), we get a palindrome (3366886633).

The spelling of 2005261631 in words is "two billion, five million, two hundred sixty-one thousand, six hundred thirty-one".