51054213142251 has 48 divisors (see below), whose sum is σ = 80521721280000. Its totient is φ = 30914012387520.

The previous prime is 51054213142249. The next prime is 51054213142279. The reversal of 51054213142251 is 15224131245015.

51054213142251 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 421 + 3 + 1 + 4 + 225 + 1 = 666.

It is not a de Polignac number, because 51054213142251 - 2¹ = 51054213142249 is a prime.

It is a super-3 number, since 3×51054213142251³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (51054213142241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625477920 + ... + 625559538.

It is an arithmetic number, because the mean of its divisors is an integer number (1677535860000).

Almost surely, 2^{51054213142251} is an apocalyptic number.

51054213142251 is a deficient number, since it is larger than the sum of its proper divisors (29467508137749).

51054213142251 is a wasteful number, since it uses less digits than its factorization.

51054213142251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87264 (or 87261 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 51054213142251 its reverse (15224131245015), we get a palindrome (66278344387266).

The spelling of 51054213142251 in words is "fifty-one trillion, fifty-four billion, two hundred thirteen million, one hundred forty-two thousand, two hundred fifty-one".