51401325242300 has 144 divisors (see below), whose sum is σ = 122900093890560. Its totient is φ = 18504162720000.

The previous prime is 51401325242279. The next prime is 51401325242303. The reversal of 51401325242300 is 324252310415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51401325242303) 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, 1181971157 + ... + 1182014643.

It is an arithmetic number, because the mean of its divisors is an integer number (853472874240).

Almost surely, 2^{51401325242300} is an apocalyptic number.

51401325242300 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 51401325242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61450046945280).

51401325242300 is an abundant number, since it is smaller than the sum of its proper divisors (71498768648260).

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

51401325242300 is a wasteful number, since it uses less digits than its factorization.

51401325242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54252 (or 54245 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 51401325242300 its reverse (324252310415), we get a palindrome (51725577552715).

The spelling of 51401325242300 in words is "fifty-one trillion, four hundred one billion, three hundred twenty-five million, two hundred forty-two thousand, three hundred".