253225033200 has 90 divisors (see below), whose sum is σ = 878761217984. Its totient is φ = 67526674560.

The previous prime is 253225033177. The next prime is 253225033207. The reversal of 253225033200 is 2330522352.

253225033200 is a `hidden beast` number, since 2 + 5 + 322 + 5 + 0 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×253225033200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253225033207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35166544 + ... + 35173743.

Almost surely, 2^253225033200 is an apocalyptic number.

253225033200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253225033200 is an abundant number, since it is smaller than the sum of its proper divisors (625536184784).

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

253225033200 is a wasteful number, since it uses less digits than its factorization.

253225033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70340311 (or 70340297 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 253225033200 its reverse (2330522352), we get a palindrome (255555555552).

The spelling of 253225033200 in words is "two hundred fifty-three billion, two hundred twenty-five million, thirty-three thousand, two hundred".