53263600 has 60 divisors (see below), whose sum is σ = 137822776. Its totient is φ = 19664640.

The previous prime is 53263583. The next prime is 53263603. The reversal of 53263600 is 636235.

It is a super-2 number, since 2×53263600² = 5674022169920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53263603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 10321.

Almost surely, 2^53263600 is an apocalyptic number.

53263600 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 53263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68911388).

53263600 is an abundant number, since it is smaller than the sum of its proper divisors (84559176).

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

53263600 is a wasteful number, since it uses less digits than its factorization.

53263600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10274 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 53263600 is about 7298.1915568173. The cubic root of 53263600 is about 376.2502860525.

Adding to 53263600 its reverse (636235), we get a palindrome (53899835).

The spelling of 53263600 in words is "fifty-three million, two hundred sixty-three thousand, six hundred".