51005050101 has 24 divisors (see below), whose sum is σ = 73849380696. Its totient is φ = 33922498560.

The previous prime is 51005050081. The next prime is 51005050111. The reversal of 51005050101 is 10105050015.

51005050101 is a `hidden beast` number, since 510 + 0 + 5 + 0 + 50 + 101 = 666.

51005050101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1681082001 + 49323968100 = 41001^2 + 222090^2 .

It is not a de Polignac number, because 51005050101 - 2⁵ = 51005050069 is a prime.

It is a super-2 number, since 2×51005050101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005050111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8956411 + ... + 8962103.

It is an arithmetic number, because the mean of its divisors is an integer number (3077057529).

Almost surely, 2^51005050101 is an apocalyptic number.

It is an amenable number.

51005050101 is a deficient number, since it is larger than the sum of its proper divisors (22844330595).

51005050101 is a wasteful number, since it uses less digits than its factorization.

51005050101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7893 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 51005050101 in words is "fifty-one billion, five million, fifty thousand, one hundred one".