51445125000 has 280 divisors, whose sum is σ = 180150623730. Its totient is φ = 13716000000.

The previous prime is 51445124993. The next prime is 51445125001. The reversal of 51445125000 is 52154415.

51445125000 is a `hidden beast` number, since 5 + 144 + 5 + 12 + 500 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 37421354916 + 14023770084 = 193446^2 + 118422^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51445125001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 10122460 + ... + 10127540.

Almost surely, 2^51445125000 is an apocalyptic number.

51445125000 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 51445125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90075311865).

51445125000 is an abundant number, since it is smaller than the sum of its proper divisors (128705498730).

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

51445125000 is an frugal number, since it uses more digits than its factorization.

51445125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 51445125000 its reverse (52154415), we get a palindrome (51497279415).

The spelling of 51445125000 in words is "fifty-one billion, four hundred forty-five million, one hundred twenty-five thousand".