51005671101 has 48 divisors (see below), whose sum is σ = 91918240128. Its totient is φ = 26478028800.

The previous prime is 51005671097. The next prime is 51005671103. The reversal of 51005671101 is 10117650015.

It is a happy number.

It is not a de Polignac number, because 51005671101 - 2² = 51005671097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005671103) 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 in 47 ways as a sum of consecutive naturals, for example, 1001485 + ... + 1051181.

It is an arithmetic number, because the mean of its divisors is an integer number (1914963336).

Almost surely, 2^51005671101 is an apocalyptic number.

It is an amenable number.

51005671101 is a deficient number, since it is larger than the sum of its proper divisors (40912569027).

51005671101 is a wasteful number, since it uses less digits than its factorization.

51005671101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51202 (or 51199 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 51005671101 in words is "fifty-one billion, five million, six hundred seventy-one thousand, one hundred one".