51313321245600 has 432 divisors, whose sum is σ = 190680187186944. Its totient is φ = 12959020800000.

The previous prime is 51313321245581. The next prime is 51313321245601. The reversal of 51313321245600 is 654212331315.

51313321245600 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 3 + 3 + 2 + 1 + 2 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51313321245601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15191625 + ... + 18259575.

It is an arithmetic number, because the mean of its divisors is an integer number (441389322192).

Almost surely, 2^{51313321245600} is an apocalyptic number.

51313321245600 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 51313321245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95340093593472).

51313321245600 is an abundant number, since it is smaller than the sum of its proper divisors (139366865941344).

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

51313321245600 is a wasteful number, since it uses less digits than its factorization.

51313321245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068101 (or 3068085 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 51313321245600 its reverse (654212331315), we get a palindrome (51967533576915).

The spelling of 51313321245600 in words is "fifty-one trillion, three hundred thirteen billion, three hundred twenty-one million, two hundred forty-five thousand, six hundred".