51100000100511 has 16 divisors (see below), whose sum is σ = 68148056840448. Its totient is φ = 34059305736000.

The previous prime is 51100000100503. The next prime is 51100000100533. The reversal of 51100000100511 is 11500100000115.

It is not a de Polignac number, because 51100000100511 - 2³ = 51100000100503 is a prime.

It is a super-2 number, since 2×51100000100511² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51100000100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344844286 + ... + 344992436.

It is an arithmetic number, because the mean of its divisors is an integer number (4259253552528).

Almost surely, 2^{51100000100511} is an apocalyptic number.

51100000100511 is a deficient number, since it is larger than the sum of its proper divisors (17048056739937).

51100000100511 is a wasteful number, since it uses less digits than its factorization.

51100000100511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172222.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 51100000100511 its reverse (11500100000115), we get a palindrome (62600100100626).

The spelling of 51100000100511 in words is "fifty-one trillion, one hundred billion, one hundred thousand, five hundred eleven".