252509363550 has 240 divisors, whose sum is σ = 719266553280. Its totient is φ = 65651523840.

The previous prime is 252509363537. The next prime is 252509363551. The reversal of 252509363550 is 55363905252.

252509363550 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 0 + 9 + 3 + 635 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 252509363496 and 252509363505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252509363551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52724556 + ... + 52729344.

It is an arithmetic number, because the mean of its divisors is an integer number (2996943972).

Almost surely, 2^252509363550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252509363550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359633276640).

252509363550 is an abundant number, since it is smaller than the sum of its proper divisors (466757189730).

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

252509363550 is a wasteful number, since it uses less digits than its factorization.

252509363550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 252509363550 in words is "two hundred fifty-two billion, five hundred nine million, three hundred sixty-three thousand, five hundred fifty".