51147602500 has 240 divisors, whose sum is σ = 122751644400. Its totient is φ = 18565120000.

The previous prime is 51147602411. The next prime is 51147602509. The reversal of 51147602500 is 520674115.

It can be written as a sum of positive squares in 40 ways, for example, as 46245642304 + 4901960196 = 215048^2 + 70014^2 .

It is not an unprimeable number, because it can be changed into a prime (51147602509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259632402 + ... + 259632598.

It is an arithmetic number, because the mean of its divisors is an integer number (511465185).

Almost surely, 2^51147602500 is an apocalyptic number.

51147602500 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 51147602500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61375822200).

51147602500 is an abundant number, since it is smaller than the sum of its proper divisors (71604041900).

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

51147602500 is a wasteful number, since it uses less digits than its factorization.

51147602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 51147602500 in words is "fifty-one billion, one hundred forty-seven million, six hundred two thousand, five hundred".