5102253552000 has 512 divisors, whose sum is σ = 18685321574400. Its totient is φ = 1221242880000.

The previous prime is 5102253551999. The next prime is 5102253552037. The reversal of 5102253552000 is 2553522015.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 41650840 + ... + 41773160.

It is an arithmetic number, because the mean of its divisors is an integer number (36494768700).

Almost surely, 2^{5102253552000} is an apocalyptic number.

5102253552000 is a gapful number since it is divisible by the number (50) 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 5102253552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9342660787200).

5102253552000 is an abundant number, since it is smaller than the sum of its proper divisors (13583068022400).

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

5102253552000 is a wasteful number, since it uses less digits than its factorization.

5102253552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122443 (or 122421 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 5102253552000 in words is "five trillion, one hundred two billion, two hundred fifty-three million, five hundred fifty-two thousand".