1006251141 has 16 divisors (see below), whose sum is σ = 1534224384. Its totient is φ = 574667184.

The previous prime is 1006251139. The next prime is 1006251143. The reversal of 1006251141 is 1411526001.

It is an interprime number because it is at equal distance from previous prime (1006251139) and next prime (1006251143).

It is not a de Polignac number, because 1006251141 - 2¹ = 1006251139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006251143) 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 15 ways as a sum of consecutive naturals, for example, 25816 + ... + 51758.

It is an arithmetic number, because the mean of its divisors is an integer number (95889024).

Almost surely, 2^1006251141 is an apocalyptic number.

It is an amenable number.

1006251141 is a deficient number, since it is larger than the sum of its proper divisors (527973243).

1006251141 is a wasteful number, since it uses less digits than its factorization.

1006251141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27800.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1006251141 is about 31721.4618357982. The cubic root of 1006251141 is about 1002.0793868201.

Adding to 1006251141 its reverse (1411526001), we get a palindrome (2417777142).

The spelling of 1006251141 in words is "one billion, six million, two hundred fifty-one thousand, one hundred forty-one".