1005000051060 has 36 divisors (see below), whose sum is σ = 3048500155428. Its totient is φ = 268000013568.

The previous prime is 1005000051059. The next prime is 1005000051109. The reversal of 1005000051060 is 601500005001.

1005000051060 is a `hidden beast` number, since 100 + 50 + 0 + 0 + 0 + 510 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 168236147556 + 836763903504 = 410166^2 + 914748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1005000051060³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2791666629 + ... + 2791666988.

It is an arithmetic number, because the mean of its divisors is an integer number (84680559873).

Almost surely, 2^{1005000051060} is an apocalyptic number.

1005000051060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005000051060 is an abundant number, since it is smaller than the sum of its proper divisors (2043500104368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005000051060 is a wasteful number, since it uses less digits than its factorization.

1005000051060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583333632 (or 5583333627 counting only the distinct ones).

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

Adding to 1005000051060 its reverse (601500005001), we get a palindrome (1606500056061).

The spelling of 1005000051060 in words is "one trillion, five billion, fifty-one thousand, sixty".