252589547520 has 672 divisors, whose sum is σ = 944113757184. Its totient is φ = 62350295040.

The previous prime is 252589547479. The next prime is 252589547537. The reversal of 252589547520 is 25745985252.

252589547520 is a `hidden beast` number, since 2 + 5 + 2 + 589 + 5 + 4 + 7 + 52 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8148049905 + ... + 8148049935.

Almost surely, 2^252589547520 is an apocalyptic number.

252589547520 is a gapful number since it is divisible by the number (20) 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 252589547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472056878592).

252589547520 is an abundant number, since it is smaller than the sum of its proper divisors (691524209664).

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

252589547520 is an frugal number, since it uses more digits than its factorization.

252589547520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 252589547520 in words is "two hundred fifty-two billion, five hundred eighty-nine million, five hundred forty-seven thousand, five hundred twenty".