1005456141 has 12 divisors (see below), whose sum is σ = 1453118940. Its totient is φ = 669937920.

The previous prime is 1005456121. The next prime is 1005456149. The reversal of 1005456141 is 1416545001.

1005456141 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 45 + 614 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 555592041 + 449864100 = 23571^2 + 21210^2 .

It is not a de Polignac number, because 1005456141 - 2⁹ = 1005455629 is a prime.

It is a super-2 number, since 2×1005456141² = 2021884102949223762, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005456149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12570 + ... + 46571.

It is an arithmetic number, because the mean of its divisors is an integer number (121093245).

Almost surely, 2^1005456141 is an apocalyptic number.

It is an amenable number.

1005456141 is a deficient number, since it is larger than the sum of its proper divisors (447662799).

1005456141 is a wasteful number, since it uses less digits than its factorization.

1005456141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61036 (or 61033 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1005456141 is about 31708.9284114112. The cubic root of 1005456141 is about 1001.8154159373.

The spelling of 1005456141 in words is "one billion, five million, four hundred fifty-six thousand, one hundred forty-one".