252546346752 has 144 divisors (see below), whose sum is σ = 813348087552. Its totient is φ = 67911598080.

The previous prime is 252546346739. The next prime is 252546346763. The reversal of 252546346752 is 257643645252.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 252546346695 and 252546346704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290274 + ... + 1473057.

It is an arithmetic number, because the mean of its divisors is an integer number (5648250608).

Almost surely, 2^252546346752 is an apocalyptic number.

It is an amenable number.

252546346752 is an abundant number, since it is smaller than the sum of its proper divisors (560801740800).

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

252546346752 is a wasteful number, since it uses less digits than its factorization.

252546346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763374 (or 2763360 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 51.

The spelling of 252546346752 in words is "two hundred fifty-two billion, five hundred forty-six million, three hundred forty-six thousand, seven hundred fifty-two".