605005101001 has 16 divisors (see below), whose sum is σ = 732817255680. Its totient is φ = 487597847040.

The previous prime is 605005100993. The next prime is 605005101037. The reversal of 605005101001 is 100101500506.

It is a cyclic number.

It is not a de Polignac number, because 605005101001 - 2³ = 605005100993 is a prime.

It is a super-2 number, since 2×605005101001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 605005101001.

It is not an unprimeable number, because it can be changed into a prime (605005101601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2342916 + ... + 2588293.

It is an arithmetic number, because the mean of its divisors is an integer number (45801078480).

Almost surely, 2^605005101001 is an apocalyptic number.

It is an amenable number.

605005101001 is a deficient number, since it is larger than the sum of its proper divisors (127812154679).

605005101001 is a wasteful number, since it uses less digits than its factorization.

605005101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932264.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 605005101001 its reverse (100101500506), we get a palindrome (705106601507).

The spelling of 605005101001 in words is "six hundred five billion, five million, one hundred one thousand, one".