52712588250 has 576 divisors, whose sum is σ = 175649071104. Its totient is φ = 11169446400.

The previous prime is 52712588141. The next prime is 52712588293. The reversal of 52712588250 is 5288521725.

52712588250 is a `hidden beast` number, since 5 + 2 + 7 + 12 + 588 + 2 + 50 = 666.

52712588250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 52712588196 and 52712588205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 415059687 + ... + 415059813.

It is an arithmetic number, because the mean of its divisors is an integer number (304946304).

Almost surely, 2^52712588250 is an apocalyptic number.

52712588250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52712588250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87824535552).

52712588250 is an abundant number, since it is smaller than the sum of its proper divisors (122936482854).

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

52712588250 is a wasteful number, since it uses less digits than its factorization.

52712588250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 52712588250 in words is "fifty-two billion, seven hundred twelve million, five hundred eighty-eight thousand, two hundred fifty".