1001507006601 has 12 divisors (see below), whose sum is σ = 1481904676980. Its totient is φ = 651386670720.

The previous prime is 1001507006581. The next prime is 1001507006629. The reversal of 1001507006601 is 1066007051001.

1001507006601 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 50 + 7 + 0 + 0 + 6 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 274539321225 + 726967685376 = 523965^2 + 852624^2 .

It is not a de Polignac number, because 1001507006601 - 2⁷ = 1001507006473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001507006641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357055196 + ... + 1357055933.

It is an arithmetic number, because the mean of its divisors is an integer number (123492056415).

Almost surely, 2^{1001507006601} is an apocalyptic number.

It is an amenable number.

1001507006601 is a deficient number, since it is larger than the sum of its proper divisors (480397670379).

1001507006601 is a wasteful number, since it uses less digits than its factorization.

1001507006601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714111176 (or 2714111173 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 1001507006601 in words is "one trillion, one billion, five hundred seven million, six thousand, six hundred one".