51125213200544 has 192 divisors, whose sum is σ = 120110609203200. Its totient is φ = 20960593689600.

The previous prime is 51125213200519. The next prime is 51125213200571. The reversal of 51125213200544 is 44500231252115.

It is a super-2 number, since 2×51125213200544² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326143817 + ... + 326300535.

It is an arithmetic number, because the mean of its divisors is an integer number (625576089600).

Almost surely, 2^{51125213200544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51125213200544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60055304601600).

51125213200544 is an abundant number, since it is smaller than the sum of its proper divisors (68985396002656).

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

51125213200544 is a wasteful number, since it uses less digits than its factorization.

51125213200544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157307 (or 157299 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 51125213200544 its reverse (44500231252115), we get a palindrome (95625444452659).

The spelling of 51125213200544 in words is "fifty-one trillion, one hundred twenty-five billion, two hundred thirteen million, two hundred thousand, five hundred forty-four".