51432100006627 has 24 divisors (see below), whose sum is σ = 53543383629120. Its totient is φ = 49380687671040.

The previous prime is 51432100006619. The next prime is 51432100006649. The reversal of 51432100006627 is 72660000123415.

51432100006627 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 51432100006627 - 2³ = 51432100006619 is a prime.

It is a super-2 number, since 2×51432100006627² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51432100006697) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50341149 + ... + 51352657.

It is an arithmetic number, because the mean of its divisors is an integer number (2230974317880).

Almost surely, 2^{51432100006627} is an apocalyptic number.

51432100006627 is a deficient number, since it is larger than the sum of its proper divisors (2111283622493).

51432100006627 is a wasteful number, since it uses less digits than its factorization.

51432100006627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011931 (or 1011864 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 51432100006627 in words is "fifty-one trillion, four hundred thirty-two billion, one hundred million, six thousand, six hundred twenty-seven".