51431214321 has 24 divisors (see below), whose sum is σ = 78111120360. Its totient is φ = 32562432000.

The previous prime is 51431214277. The next prime is 51431214343. The reversal of 51431214321 is 12341213415.

51431214321 is a `hidden beast` number, since 5 + 14 + 312 + 14 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6266463921 + 45164750400 = 79161^2 + 212520^2 .

It is not a de Polignac number, because 51431214321 - 2¹⁹ = 51430690033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51431212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599280 + ... + 1631121.

It is an arithmetic number, because the mean of its divisors is an integer number (3254630015).

Almost surely, 2^51431214321 is an apocalyptic number.

It is an amenable number.

51431214321 is a deficient number, since it is larger than the sum of its proper divisors (26679906039).

51431214321 is a wasteful number, since it uses less digits than its factorization.

51431214321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230497 (or 3230494 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 51431214321 its reverse (12341213415), we get a palindrome (63772427736).

The spelling of 51431214321 in words is "fifty-one billion, four hundred thirty-one million, two hundred fourteen thousand, three hundred twenty-one".