53097200 has 60 divisors (see below), whose sum is σ = 137392248. Its totient is φ = 19603200.

The previous prime is 53097197. The next prime is 53097211. The reversal of 53097200 is 279035.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 53097200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95 + ... + 10305.

Almost surely, 2^53097200 is an apocalyptic number.

53097200 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 53097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68696124).

53097200 is an abundant number, since it is smaller than the sum of its proper divisors (84295048).

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

53097200 is a wasteful number, since it uses less digits than its factorization.

53097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242 (or 10231 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 53097200 is about 7286.7825547357. The cubic root of 53097200 is about 375.8580647319.

The spelling of 53097200 in words is "fifty-three million, ninety-seven thousand, two hundred".