51000000000001 has 12 divisors (see below), whose sum is σ = 55232421564972. Its totient is φ = 47070470393856.

The previous prime is 50999999999989. The next prime is 51000000000043. The reversal of 51000000000001 is 10000000000015.

It can be written as a sum of positive squares in 6 ways, for example, as 5076662391025 + 45923337608976 = 2253145^2 + 6776676^2 .

It is not a de Polignac number, because 51000000000001 - 2²¹ = 50999997902849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 50999999999894 and 50999999999903.

It is not an unprimeable number, because it can be changed into a prime (51000000000071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19444836 + ... + 21911221.

It is an arithmetic number, because the mean of its divisors is an integer number (4602701797081).

Almost surely, 2^{51000000000001} is an apocalyptic number.

It is an amenable number.

51000000000001 is a deficient number, since it is larger than the sum of its proper divisors (4232421564971).

51000000000001 is a wasteful number, since it uses less digits than its factorization.

51000000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41363380 (or 41363367 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

Adding to 51000000000001 its reverse (10000000000015), we get a palindrome (61000000000016).

It can be divided in two parts, 5 and 1000000000001, that multiplied together give a palindrome (5000000000005).

The spelling of 51000000000001 in words is "fifty-one trillion, one", and thus it is an aban number and an uban number.