1005245241 has 192 divisors, whose sum is σ = 2027047680. Its totient is φ = 433520640.

The previous prime is 1005245237. The next prime is 1005245243. The reversal of 1005245241 is 1425425001.

1005245241 = T₄₀₆ + T₄₀₇ + ... + T₁₈₂₆.

It is not a de Polignac number, because 1005245241 - 2² = 1005245237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005245243) 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 191 ways as a sum of consecutive naturals, for example, 10363305 + ... + 10363401.

It is an arithmetic number, because the mean of its divisors is an integer number (10557540).

Almost surely, 2^1005245241 is an apocalyptic number.

1005245241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005245241 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

1005245241 is a wasteful number, since it uses less digits than its factorization.

1005245241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1005245241 is about 31705.6026752371. The cubic root of 1005245241 is about 1001.7453655933.

The spelling of 1005245241 in words is "one billion, five million, two hundred forty-five thousand, two hundred forty-one".