252338098584 has 256 divisors, whose sum is σ = 769066905600. Its totient is φ = 67947724800.

The previous prime is 252338098577. The next prime is 252338098589. The reversal of 252338098584 is 485890833252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252338098589) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20527512 + ... + 20539800.

It is an arithmetic number, because the mean of its divisors is an integer number (3004167600).

Almost surely, 2^252338098584 is an apocalyptic number.

252338098584 is a gapful number since it is divisible by the number (24) 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 252338098584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384533452800).

252338098584 is an abundant number, since it is smaller than the sum of its proper divisors (516728807016).

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

252338098584 is a wasteful number, since it uses less digits than its factorization.

252338098584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12546 (or 12542 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 252338098584 in words is "two hundred fifty-two billion, three hundred thirty-eight million, ninety-eight thousand, five hundred eighty-four".