252121454424 has 384 divisors, whose sum is σ = 819894441600. Its totient is φ = 68473036800.

The previous prime is 252121454411. The next prime is 252121454489. The reversal of 252121454424 is 424454121252.

252121454424 is a `hidden beast` number, since 2 + 5 + 212 + 14 + 5 + 4 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343957962 + ... + 343958694.

It is an arithmetic number, because the mean of its divisors is an integer number (2135141775).

Almost surely, 2^252121454424 is an apocalyptic number.

252121454424 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 252121454424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409947220800).

252121454424 is an abundant number, since it is smaller than the sum of its proper divisors (567772987176).

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

252121454424 is a wasteful number, since it uses less digits than its factorization.

252121454424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 252121454424 its reverse (424454121252), we get a palindrome (676575575676).

The spelling of 252121454424 in words is "two hundred fifty-two billion, one hundred twenty-one million, four hundred fifty-four thousand, four hundred twenty-four".