252239905503432 has 1536 divisors, whose sum is σ = 913326326415360. Its totient is φ = 60985177344000.

The previous prime is 252239905503427. The next prime is 252239905503461. The reversal of 252239905503432 is 234305509932252.

252239905503432 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 3 + 9 + 90 + 5 + 503 + 43 + 2 = 666.

It is a super-2 number, since 2×252239905503432² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 441751147707 + ... + 441751148277.

It is an arithmetic number, because the mean of its divisors is an integer number (594613493760).

Almost surely, 2^{252239905503432} is an apocalyptic number.

252239905503432 is a gapful number since it is divisible by the number (22) 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 252239905503432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456663163207680).

252239905503432 is an abundant number, since it is smaller than the sum of its proper divisors (661086420911928).

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

252239905503432 is a wasteful number, since it uses less digits than its factorization.

252239905503432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 252239905503432 in words is "two hundred fifty-two trillion, two hundred thirty-nine billion, nine hundred five million, five hundred three thousand, four hundred thirty-two".