252123343000 has 256 divisors, whose sum is σ = 614210688000. Its totient is φ = 96816384000.

The previous prime is 252123342997. The next prime is 252123343019. The reversal of 252123343000 is 343321252.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582270784 + ... + 582271216.

It is an arithmetic number, because the mean of its divisors is an integer number (2399260500).

Almost surely, 2^252123343000 is an apocalyptic number.

252123343000 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 252123343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344000).

252123343000 is an abundant number, since it is smaller than the sum of its proper divisors (362087345000).

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

252123343000 is a wasteful number, since it uses less digits than its factorization.

252123343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 252123343000 its reverse (343321252), we get a palindrome (252466664252).

The spelling of 252123343000 in words is "two hundred fifty-two billion, one hundred twenty-three million, three hundred forty-three thousand".