51576456906 has 48 divisors (see below), whose sum is σ = 124494912360. Its totient is φ = 15322446720.

The previous prime is 51576456901. The next prime is 51576456913. The reversal of 51576456906 is 60965467515.

51576456906 is a `hidden beast` number, since 5 + 1 + 5 + 76 + 4 + 569 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25238088225 + 26338368681 = 158865^2 + 162291^2 .

It is not an unprimeable number, because it can be changed into a prime (51576456901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3793425 + ... + 3806996.

Almost surely, 2^51576456906 is an apocalyptic number.

51576456906 is an abundant number, since it is smaller than the sum of its proper divisors (72918455454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51576456906 is a wasteful number, since it uses less digits than its factorization.

51576456906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600471 (or 7600468 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 51576456906 in words is "fifty-one billion, five hundred seventy-six million, four hundred fifty-six thousand, nine hundred six".