1005055055051 has 2 divisors, whose sum is σ = 1005055055052. Its totient is φ = 1005055055050.

The previous prime is 1005055055023. The next prime is 1005055055077. The reversal of 1005055055051 is 1505505505001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005055055051 - 2²² = 1005050860747 is a prime.

It is a super-2 number, since 2×1005055055051² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005055054999 and 1005055055017.

It is not a weakly prime, because it can be changed into another prime (1005055052051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502527527525 + 502527527526.

It is an arithmetic number, because the mean of its divisors is an integer number (502527527526).

Almost surely, 2^{1005055055051} is an apocalyptic number.

1005055055051 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005055055051 is an equidigital number, since it uses as much as digits as its factorization.

1005055055051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 1005055055051 in words is "one trillion, five billion, fifty-five million, fifty-five thousand, fifty-one".