252135431985528 has 384 divisors, whose sum is σ = 869755509342720. Its totient is φ = 64206132157440.

The previous prime is 252135431985511. The next prime is 252135431985637. The reversal of 252135431985528 is 825589134531252.

252135431985528 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 3 + 543 + 1 + 9 + 85 + 5 + 2 + 8 = 666.

It is a Cunningham number, because it is equal to 15878773²-1.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 27787851 + ... + 35727237.

It is an arithmetic number, because the mean of its divisors is an integer number (2264988305580).

Almost surely, 2^{252135431985528} is an apocalyptic number.

252135431985528 is a gapful number since it is divisible by the number (28) 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 252135431985528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434877754671360).

252135431985528 is an abundant number, since it is smaller than the sum of its proper divisors (617620077357192).

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

252135431985528 is a wasteful number, since it uses less digits than its factorization.

252135431985528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939587 (or 7939580 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 63.

The spelling of 252135431985528 in words is "two hundred fifty-two trillion, one hundred thirty-five billion, four hundred thirty-one million, nine hundred eighty-five thousand, five hundred twenty-eight".