52957300 has 72 divisors (see below), whose sum is σ = 129491712. Its totient is φ = 18624000.

The previous prime is 52957273. The next prime is 52957301. The reversal of 52957300 is 375925.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52957301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33324 + ... + 34876.

It is an arithmetic number, because the mean of its divisors is an integer number (1798496).

Almost surely, 2^52957300 is an apocalyptic number.

52957300 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 52957300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64745856).

52957300 is an abundant number, since it is smaller than the sum of its proper divisors (76534412).

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

52957300 is a wasteful number, since it uses less digits than its factorization.

52957300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 52957300 is about 7277.1766503226. The cubic root of 52957300 is about 375.5276719660.

The spelling of 52957300 in words is "fifty-two million, nine hundred fifty-seven thousand, three hundred".