53257600 has 192 divisors, whose sum is σ = 153673200. Its totient is φ = 18022400.

The previous prime is 53257591. The next prime is 53257609. The reversal of 53257600 is 675235.

It is an interprime number because it is at equal distance from previous prime (53257591) and next prime (53257609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53257609) 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, 598356 + ... + 598444.

Almost surely, 2^53257600 is an apocalyptic number.

53257600 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 53257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76836600).

53257600 is an abundant number, since it is smaller than the sum of its proper divisors (100415600).

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

53257600 is a wasteful number, since it uses less digits than its factorization.

53257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 53257600 is about 7297.7804845035. The cubic root of 53257600 is about 376.2361576641.

The spelling of 53257600 in words is "fifty-three million, two hundred fifty-seven thousand, six hundred".