1005000005061 has 48 divisors (see below), whose sum is σ = 1590352510656. Its totient is φ = 607832563968.

The previous prime is 1005000005047. The next prime is 1005000005077. The reversal of 1005000005061 is 1605000005001.

1005000005061 is a `hidden beast` number, since 100 + 500 + 0 + 0 + 0 + 5 + 0 + 61 = 666.

It is not a de Polignac number, because 1005000005061 - 2⁶ = 1005000004997 is a prime.

It is a super-2 number, since 2×1005000005061² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005000005461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2209210 + ... + 2624996.

It is an arithmetic number, because the mean of its divisors is an integer number (33132343972).

Almost surely, 2^{1005000005061} is an apocalyptic number.

It is an amenable number.

1005000005061 is a deficient number, since it is larger than the sum of its proper divisors (585352505595).

1005000005061 is a wasteful number, since it uses less digits than its factorization.

1005000005061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416162 (or 416159 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 1005000005061 in words is "one trillion, five billion, five thousand, sixty-one".