252423135504 has 120 divisors (see below), whose sum is σ = 711396491520. Its totient is φ = 83550714624.

The previous prime is 252423135499. The next prime is 252423135509. The reversal of 252423135504 is 405531324252.

252423135504 is a `hidden beast` number, since 2 + 52 + 42 + 3 + 13 + 550 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (252423135499) and next prime (252423135509).

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

It is not an unprimeable number, because it can be changed into a prime (252423135509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49893327 + ... + 49898385.

It is an arithmetic number, because the mean of its divisors is an integer number (5928304096).

Almost surely, 2^252423135504 is an apocalyptic number.

252423135504 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 252423135504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355698245760).

252423135504 is an abundant number, since it is smaller than the sum of its proper divisors (458973356016).

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

252423135504 is a wasteful number, since it uses less digits than its factorization.

252423135504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7428 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 252423135504 its reverse (405531324252), we get a palindrome (657954459756).

The spelling of 252423135504 in words is "two hundred fifty-two billion, four hundred twenty-three million, one hundred thirty-five thousand, five hundred four".