51213050400 has 144 divisors (see below), whose sum is σ = 166945127328. Its totient is φ = 13636608000.

The previous prime is 51213050351. The next prime is 51213050401. The reversal of 51213050400 is 405031215.

It is not an unprimeable number, because it can be changed into a prime (51213050401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1642960 + ... + 1673840.

It is an arithmetic number, because the mean of its divisors is an integer number (1159341162).

Almost surely, 2^51213050400 is an apocalyptic number.

51213050400 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 51213050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83472563664).

51213050400 is an abundant number, since it is smaller than the sum of its proper divisors (115732076928).

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

51213050400 is a wasteful number, since it uses less digits than its factorization.

51213050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31595 (or 31582 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 51213050400 its reverse (405031215), we get a palindrome (51618081615).

The spelling of 51213050400 in words is "fifty-one billion, two hundred thirteen million, fifty thousand, four hundred".