1005501001059 has 32 divisors (see below), whose sum is σ = 1501761085440. Its totient is φ = 664878334176.

The previous prime is 1005501001031. The next prime is 1005501001069. The reversal of 1005501001059 is 9501001055001.

1005501001059 is a `hidden beast` number, since 1 + 0 + 0 + 550 + 1 + 0 + 0 + 105 + 9 = 666.

It is not a de Polignac number, because 1005501001059 - 2⁵ = 1005501001027 is a prime.

It is a super-2 number, since 2×1005501001059² (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).

It is not an unprimeable number, because it can be changed into a prime (1005501001069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13497117 + ... + 13571409.

It is an arithmetic number, because the mean of its divisors is an integer number (46930033920).

Almost surely, 2^{1005501001059} is an apocalyptic number.

1005501001059 is a deficient number, since it is larger than the sum of its proper divisors (496260084381).

1005501001059 is a wasteful number, since it uses less digits than its factorization.

1005501001059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78376 (or 78370 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The spelling of 1005501001059 in words is "one trillion, five billion, five hundred one million, one thousand, fifty-nine".