1005008255001 has 135 divisors (see below), whose sum is σ = 1635196273711. Its totient is φ = 615070453536.

The previous prime is 1005008254961. The next prime is 1005008255011. The reversal of 1005008255001 is 1005528005001.

The square root of 1005008255001 is 1002501.

It is a perfect power (a square), and thus also a powerful number.

1005008255001 is a `hidden beast` number, since 100 + 5 + 0 + 0 + 8 + 2 + 550 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 527001950601 + 478006304400 = 725949^2 + 691380^2 .

It is not a de Polignac number, because 1005008255001 - 2²³ = 1004999866393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005008255011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6018013420 + ... + 6018013586.

Almost surely, 2^{1005008255001} is an apocalyptic number.

1005008255001 is the 1002501-st square number.

1005008255001 is the 501251-st centered octagonal number.

It is an amenable number.

1005008255001 is a deficient number, since it is larger than the sum of its proper divisors (630188018710).

1005008255001 is an frugal number, since it uses more digits than its factorization.

1005008255001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 1005008255001 in words is "one trillion, five billion, eight million, two hundred fifty-five thousand, one".