52050205200 has 480 divisors, whose sum is σ = 203718961152. Its totient is φ = 11100672000.

The previous prime is 52050205183. The next prime is 52050205217. The reversal of 52050205200 is 250205025.

It is an interprime number because it is at equal distance from previous prime (52050205183) and next prime (52050205217).

It is a super-2 number, since 2×52050205200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7917915 + ... + 7924485.

Almost surely, 2^52050205200 is an apocalyptic number.

52050205200 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 52050205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101859480576).

52050205200 is an abundant number, since it is smaller than the sum of its proper divisors (151668755952).

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

52050205200 is a wasteful number, since it uses less digits than its factorization.

52050205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The spelling of 52050205200 in words is "fifty-two billion, fifty million, two hundred five thousand, two hundred".