1005253143021 has 24 divisors (see below), whose sum is σ = 1528623227040. Its totient is φ = 634826872800.

The previous prime is 1005253143019. The next prime is 1005253143023. The reversal of 1005253143021 is 1203413525001.

1005253143021 is a `hidden beast` number, since 100 + 5 + 2 + 531 + 4 + 3 + 0 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (1005253143019) and next prime (1005253143023).

It is not a de Polignac number, because 1005253143021 - 2¹ = 1005253143019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005253143023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258026 + ... + 1895556.

It is an arithmetic number, because the mean of its divisors is an integer number (63692634460).

Almost surely, 2^{1005253143021} is an apocalyptic number.

It is an amenable number.

1005253143021 is a deficient number, since it is larger than the sum of its proper divisors (523370084019).

1005253143021 is a wasteful number, since it uses less digits than its factorization.

1005253143021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646777 (or 646774 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1005253143021 its reverse (1203413525001), we get a palindrome (2208666668022).

The spelling of 1005253143021 in words is "one trillion, five billion, two hundred fifty-three million, one hundred forty-three thousand, twenty-one".