51352511244100 has 288 divisors, whose sum is σ = 126699090739200. Its totient is φ = 17900973043200.

The previous prime is 51352511244059. The next prime is 51352511244103. The reversal of 51352511244100 is 144211525315.

It is a super-2 number, since 2×51352511244100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51352511244103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1540112029 + ... + 1540145371.

It is an arithmetic number, because the mean of its divisors is an integer number (439927398400).

Almost surely, 2^{51352511244100} is an apocalyptic number.

51352511244100 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 51352511244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63349545369600).

51352511244100 is an abundant number, since it is smaller than the sum of its proper divisors (75346579495100).

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

51352511244100 is a wasteful number, since it uses less digits than its factorization.

51352511244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33963 (or 33956 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 51352511244100 its reverse (144211525315), we get a palindrome (51496722769415).

The spelling of 51352511244100 in words is "fifty-one trillion, three hundred fifty-two billion, five hundred eleven million, two hundred forty-four thousand, one hundred".