1005500505501 has 8 divisors (see below), whose sum is σ = 1489630378560. Its totient is φ = 670333670316.

The previous prime is 1005500505497. The next prime is 1005500505523. The reversal of 1005500505501 is 1055050055001.

1005500505501 is a `hidden beast` number, since 10 + 0 + 5 + 50 + 0 + 50 + 550 + 1 = 666.

It is not a de Polignac number, because 1005500505501 - 2² = 1005500505497 is a prime.

It is a super-2 number, since 2×1005500505501² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 37240759463 = 1005500505501 / (1 + 0 + 0 + 5 + 5 + 0 + 0 + 5 + 0 + 5 + 5 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005500505551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18620379705 + ... + 18620379758.

It is an arithmetic number, because the mean of its divisors is an integer number (186203797320).

Almost surely, 2^{1005500505501} is an apocalyptic number.

It is an amenable number.

1005500505501 is a deficient number, since it is larger than the sum of its proper divisors (484129873059).

1005500505501 is an equidigital number, since it uses as much as digits as its factorization.

1005500505501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37240759472 (or 37240759466 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 1005500505501 in words is "one trillion, five billion, five hundred million, five hundred five thousand, five hundred one".