51000959101 has 2 divisors, whose sum is σ = 51000959102. Its totient is φ = 51000959100.

The previous prime is 51000959047. The next prime is 51000959111. The reversal of 51000959101 is 10195900015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30127933476 + 20873025625 = 173574^2 + 144475^2 .

It is a cyclic number.

It is not a de Polignac number, because 51000959101 - 2⁷ = 51000958973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51000959111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25500479550 + 25500479551.

It is an arithmetic number, because the mean of its divisors is an integer number (25500479551).

Almost surely, 2^51000959101 is an apocalyptic number.

It is an amenable number.

51000959101 is a deficient number, since it is larger than the sum of its proper divisors (1).

51000959101 is an equidigital number, since it uses as much as digits as its factorization.

51000959101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2025, while the sum is 31.

It can be divided in two parts, 51000 and 959101, that added together give a palindrome (1010101).

The spelling of 51000959101 in words is "fifty-one billion, nine hundred fifty-nine thousand, one hundred one".