51432522100 has 72 divisors (see below), whose sum is σ = 113535615200. Its totient is φ = 20218377600.

The previous prime is 51432522091. The next prime is 51432522101. The reversal of 51432522100 is 122523415.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51432522101) 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, 8897011 + ... + 8902789.

Almost surely, 2^51432522100 is an apocalyptic number.

51432522100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51432522100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56767807600).

51432522100 is an abundant number, since it is smaller than the sum of its proper divisors (62103093100).

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

51432522100 is a wasteful number, since it uses less digits than its factorization.

51432522100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7313 (or 7306 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 51432522100 in words is "fifty-one billion, four hundred thirty-two million, five hundred twenty-two thousand, one hundred".