252181091520 has 168 divisors, whose sum is σ = 895378773120. Its totient is φ = 65078968320.

The previous prime is 252181091497. The next prime is 252181091527. The reversal of 252181091520 is 25190181252.

252181091520 is a `hidden beast` number, since 2 + 5 + 21 + 8 + 109 + 1 + 520 = 666.

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 (252181091527) 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, 1323025 + ... + 1501584.

Almost surely, 2^252181091520 is an apocalyptic number.

252181091520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252181091520 is an abundant number, since it is smaller than the sum of its proper divisors (643197681600).

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

252181091520 is a wasteful number, since it uses less digits than its factorization.

252181091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824663 (or 2824650 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 252181091520 in words is "two hundred fifty-two billion, one hundred eighty-one million, ninety-one thousand, five hundred twenty".