1005572755001 has 16 divisors (see below), whose sum is σ = 1044028649664. Its totient is φ = 967888825344.

The previous prime is 1005572754973. The next prime is 1005572755063.

1005572755001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1005572755001 - 2³⁴ = 988392885817 is a prime.

It is a super-2 number, since 2×1005572755001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005572755301) 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 15 ways as a sum of consecutive naturals, for example, 454490 + ... + 1489196.

It is an arithmetic number, because the mean of its divisors is an integer number (65251790604).

Almost surely, 2^{1005572755001} is an apocalyptic number.

It is an amenable number.

1005572755001 is a deficient number, since it is larger than the sum of its proper divisors (38455894663).

1005572755001 is a wasteful number, since it uses less digits than its factorization.

1005572755001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035080.

The product of its (nonzero) digits is 61250, while the sum is 38.

The spelling of 1005572755001 in words is "one trillion, five billion, five hundred seventy-two million, seven hundred fifty-five thousand, one".