50701528900 has 243 divisors, whose sum is σ = 127856625463. Its totient is φ = 17437164800.

The previous prime is 50701528897. The next prime is 50701528901. The reversal of 50701528900 is 982510705.

The square root of 50701528900 is 225170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10550987524 + 40150541376 = 102718^2 + 200376^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 50701528900.

It is not an unprimeable number, because it can be changed into a prime (50701528901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 569680056 + ... + 569680144.

Almost surely, 2^50701528900 is an apocalyptic number.

50701528900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50701528900 is the 225170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50701528900

50701528900 is an abundant number, since it is smaller than the sum of its proper divisors (77155096563).

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

50701528900 is a wasteful number, since it uses less digits than its factorization.

50701528900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 50701528900 in words is "fifty billion, seven hundred one million, five hundred twenty-eight thousand, nine hundred".