1005116207607 has 6 divisors (see below), whose sum is σ = 1451834522112. Its totient is φ = 670077471732.

The previous prime is 1005116207597. The next prime is 1005116207621. The reversal of 1005116207607 is 7067026115001.

1005116207607 is a `hidden beast` number, since 10 + 0 + 5 + 1 + 16 + 20 + 7 + 607 = 666.

1005116207607 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005116207607 - 2¹⁰ = 1005116206583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005116207657) 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, 55839789303 + ... + 55839789320.

It is an arithmetic number, because the mean of its divisors is an integer number (241972420352).

Almost surely, 2^{1005116207607} is an apocalyptic number.

1005116207607 is a deficient number, since it is larger than the sum of its proper divisors (446718314505).

1005116207607 is a wasteful number, since it uses less digits than its factorization.

1005116207607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111679578629 (or 111679578626 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 1005116207607 in words is "one trillion, five billion, one hundred sixteen million, two hundred seven thousand, six hundred seven".