52495200 has 216 divisors, whose sum is σ = 193768848. Its totient is φ = 13347840.

The previous prime is 52495169. The next prime is 52495207. The reversal of 52495200 is 259425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52495207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165442 + ... + 165758.

It is an arithmetic number, because the mean of its divisors is an integer number (897078).

Almost surely, 2^52495200 is an apocalyptic number.

52495200 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 52495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96884424).

52495200 is an abundant number, since it is smaller than the sum of its proper divisors (141273648).

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

52495200 is a wasteful number, since it uses less digits than its factorization.

52495200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52495200 is about 7245.3571340549. The cubic root of 52495200 is about 374.4322073981.

The spelling of 52495200 in words is "fifty-two million, four hundred ninety-five thousand, two hundred".