1005111110051 has 16 divisors (see below), whose sum is σ = 1037257941600. Its totient is φ = 973488392448.

The previous prime is 1005111110027. The next prime is 1005111110071. The reversal of 1005111110051 is 1500111115001.

It is a cyclic number.

It is not a de Polignac number, because 1005111110051 - 2¹⁸ = 1005110847907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005111110021) 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, 2747705 + ... + 3091941.

It is an arithmetic number, because the mean of its divisors is an integer number (64828621350).

Almost surely, 2^{1005111110051} is an apocalyptic number.

1005111110051 is a deficient number, since it is larger than the sum of its proper divisors (32146831549).

1005111110051 is an equidigital number, since it uses as much as digits as its factorization.

1005111110051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344998.

The product of its (nonzero) digits is 25, while the sum is 17.

Adding to 1005111110051 its reverse (1500111115001), we get a palindrome (2505222225052).

The spelling of 1005111110051 in words is "one trillion, five billion, one hundred eleven million, one hundred ten thousand, fifty-one".