253261200 has 60 divisors (see below), whose sum is σ = 811283888. Its totient is φ = 67536000.

The previous prime is 253261199. The next prime is 253261201. The reversal of 253261200 is 2162352.

It is an interprime number because it is at equal distance from previous prime (253261199) and next prime (253261201).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (253261201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 104326 + ... + 106725.

Almost surely, 2^253261200 is an apocalyptic number.

253261200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253261200 is an abundant number, since it is smaller than the sum of its proper divisors (558022688).

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

253261200 is a wasteful number, since it uses less digits than its factorization.

253261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211072 (or 211061 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 253261200 is about 15914.1823541142. The cubic root of 253261200 is about 632.6879359455.

The spelling of 253261200 in words is "two hundred fifty-three million, two hundred sixty-one thousand, two hundred".