252459841536 has 864 divisors, whose sum is σ = 894879498240. Its totient is φ = 68279500800.

The previous prime is 252459841531. The next prime is 252459841541. The reversal of 252459841536 is 635148954252.

252459841536 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 598 + 4 + 15 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (252459841531) and next prime (252459841541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252459841531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1987872705 + ... + 1987872831.

It is an arithmetic number, because the mean of its divisors is an integer number (1035740160).

Almost surely, 2^252459841536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252459841536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447439749120).

252459841536 is an abundant number, since it is smaller than the sum of its proper divisors (642419656704).

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

252459841536 is a wasteful number, since it uses less digits than its factorization.

252459841536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 252459841536 in words is "two hundred fifty-two billion, four hundred fifty-nine million, eight hundred forty-one thousand, five hundred thirty-six".