51211200211215 has 64 divisors (see below), whose sum is σ = 93307644928512. Its totient is φ = 23762557785600.

The previous prime is 51211200211201. The next prime is 51211200211231.

51211200211215 is nontrivially palindromic in base 10.

51211200211215 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51211200211215 - 2¹² = 51211200207119 is a prime.

It is a super-2 number, since 2×51211200211215² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68384997 + ... + 69129806.

It is an arithmetic number, because the mean of its divisors is an integer number (1457931952008).

Almost surely, 2^{51211200211215} is an apocalyptic number.

51211200211215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51211200211215 is a deficient number, since it is larger than the sum of its proper divisors (42096444717297).

51211200211215 is a wasteful number, since it uses less digits than its factorization.

51211200211215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137514920.

The product of its (nonzero) digits is 400, while the sum is 24.

It can be divided in two parts, 51211200 and 211215, that added together give a palindrome (51422415).

The spelling of 51211200211215 in words is "fifty-one trillion, two hundred eleven billion, two hundred million, two hundred eleven thousand, two hundred fifteen".