51105006011001 has 16 divisors (see below), whose sum is σ = 71103829745664. Its totient is φ = 32588143670544.

The previous prime is 51105006010997. The next prime is 51105006011029. The reversal of 51105006011001 is 10011060050115.

It is a happy number.

It is not a de Polignac number, because 51105006011001 - 2² = 51105006010997 is a prime.

It is a super-2 number, since 2×51105006011001² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51105006061001) 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, 2222041 + ... + 10351206.

It is an arithmetic number, because the mean of its divisors is an integer number (4443989359104).

Almost surely, 2^{51105006011001} is an apocalyptic number.

It is an amenable number.

51105006011001 is a deficient number, since it is larger than the sum of its proper divisors (19998823734663).

51105006011001 is a wasteful number, since it uses less digits than its factorization.

51105006011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12632180.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 51105006011001 its reverse (10011060050115), we get a palindrome (61116066061116).

The spelling of 51105006011001 in words is "fifty-one trillion, one hundred five billion, six million, eleven thousand, one".