252551307246000 has 640 divisors, whose sum is σ = 932823348627456. Its totient is φ = 57584718950400.

The previous prime is 252551307245983. The next prime is 252551307246031. The reversal of 252551307246000 is 642703155252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52472739594 + ... + 52472744406.

Almost surely, 2^{252551307246000} is an apocalyptic number.

252551307246000 is a gapful number since it is divisible by the number (20) 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 252551307246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466411674313728).

252551307246000 is an abundant number, since it is smaller than the sum of its proper divisors (680272041381456).

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

252551307246000 is a wasteful number, since it uses less digits than its factorization.

252551307246000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 252551307246000 in words is "two hundred fifty-two trillion, five hundred fifty-one billion, three hundred seven million, two hundred forty-six thousand".