51225014100 has 288 divisors, whose sum is σ = 164734456320. Its totient is φ = 12210831360.

The previous prime is 51225014063. The next prime is 51225014107. The reversal of 51225014100 is 141052215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51225014107) 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, 16327732 + ... + 16330868.

It is an arithmetic number, because the mean of its divisors is an integer number (571994640).

Almost surely, 2^51225014100 is an apocalyptic number.

51225014100 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 51225014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82367228160).

51225014100 is an abundant number, since it is smaller than the sum of its proper divisors (113509442220).

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

51225014100 is a wasteful number, since it uses less digits than its factorization.

51225014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 51225014100 its reverse (141052215), we get a palindrome (51366066315).

The spelling of 51225014100 in words is "fifty-one billion, two hundred twenty-five million, fourteen thousand, one hundred".