1005601051089 has 6 divisors (see below), whose sum is σ = 1452534851586. Its totient is φ = 670400700720.

The previous prime is 1005601051087. The next prime is 1005601051127. The reversal of 1005601051089 is 9801501065001.

1005601051089 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 60 + 1 + 0 + 510 + 89 = 666.

1005601051089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 970831854864 + 34769196225 = 985308^2 + 186465^2 .

It is not a de Polignac number, because 1005601051089 - 2¹ = 1005601051087 is a prime.

It is a super-2 number, since 2×1005601051089² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1005601051087) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55866725052 + ... + 55866725069.

It is an arithmetic number, because the mean of its divisors is an integer number (242089141931).

Almost surely, 2^{1005601051089} is an apocalyptic number.

It is an amenable number.

1005601051089 is a deficient number, since it is larger than the sum of its proper divisors (446933800497).

1005601051089 is a wasteful number, since it uses less digits than its factorization.

1005601051089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111733450127 (or 111733450124 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 1005601051089 in words is "one trillion, five billion, six hundred one million, fifty-one thousand, eighty-nine".