51531420100000 has 288 divisors, whose sum is σ = 129044130022080. Its totient is φ = 20249479680000.

The previous prime is 51531420099961. The next prime is 51531420100009. The reversal of 51531420100000 is 102413515.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51531420100009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16714698459 + ... + 16714701541.

It is an arithmetic number, because the mean of its divisors is an integer number (448069895910).

Almost surely, 2^{51531420100000} is an apocalyptic number.

51531420100000 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 51531420100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64522065011040).

51531420100000 is an abundant number, since it is smaller than the sum of its proper divisors (77512709922080).

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

51531420100000 is an equidigital number, since it uses as much as digits as its factorization.

51531420100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 51531420100000 its reverse (102413515), we get a palindrome (51531522513515).

The spelling of 51531420100000 in words is "fifty-one trillion, five hundred thirty-one billion, four hundred twenty million, one hundred thousand".