1005100510051 has 16 divisors (see below), whose sum is σ = 1117390671360. Its totient is φ = 896303655520.

The previous prime is 1005100509997. The next prime is 1005100510097. The reversal of 1005100510051 is 1500150015001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005100510051 - 2¹³ = 1005100501859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005100510651) 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, 2707380 + ... + 3056158.

It is an arithmetic number, because the mean of its divisors is an integer number (69836916960).

Almost surely, 2^{1005100510051} is an apocalyptic number.

1005100510051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005100510051 is a deficient number, since it is larger than the sum of its proper divisors (112290161309).

1005100510051 is a wasteful number, since it uses less digits than its factorization.

1005100510051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353786.

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 1005100510051 its reverse (1500150015001), we get a palindrome (2505250525052).

It can be divided in two parts, 1005100 and 510051, that added together give a palindrome (1515151).

The spelling of 1005100510051 in words is "one trillion, five billion, one hundred million, five hundred ten thousand, fifty-one".