1005955251 has 24 divisors (see below), whose sum is σ = 1586715840. Its totient is φ = 565083792.

The previous prime is 1005955231. The next prime is 1005955259. The reversal of 1005955251 is 1525595001.

It is not a de Polignac number, because 1005955251 - 2⁶ = 1005955187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005955259) 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 23 ways as a sum of consecutive naturals, for example, 49321 + ... + 66666.

It is an arithmetic number, because the mean of its divisors is an integer number (66113160).

Almost surely, 2^1005955251 is an apocalyptic number.

1005955251 is a deficient number, since it is larger than the sum of its proper divisors (580760589).

1005955251 is a wasteful number, since it uses less digits than its factorization.

1005955251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116063 (or 116056 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 33.

The square root of 1005955251 is about 31716.7976157745. The cubic root of 1005955251 is about 1001.9811560952.

The spelling of 1005955251 in words is "one billion, five million, nine hundred fifty-five thousand, two hundred fifty-one".