253200016 has 40 divisors (see below), whose sum is σ = 498684600. Its totient is φ = 124523520.

The previous prime is 253200007. The next prime is 253200029. The reversal of 253200016 is 610002352.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3686400 + 249513616 = 1920^2 + 15796^2 .

It is a super-2 number, since 2×253200016² = 128220496204800512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253199966 and 253200002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382726 + ... + 383386.

It is an arithmetic number, because the mean of its divisors is an integer number (12467115).

Almost surely, 2^253200016 is an apocalyptic number.

It is an amenable number.

253200016 is a deficient number, since it is larger than the sum of its proper divisors (245484584).

253200016 is a wasteful number, since it uses less digits than its factorization.

253200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 253200016 is about 15912.2599274899. The cubic root of 253200016 is about 632.6369826262.

Adding to 253200016 its reverse (610002352), we get a palindrome (863202368).

The spelling of 253200016 in words is "two hundred fifty-three million, two hundred thousand, sixteen".