253025280 has 396 divisors, whose sum is σ = 980349240. Its totient is φ = 60162048.

The previous prime is 253025273. The next prime is 253025281. The reversal of 253025280 is 82520352.

253025280 is a `hidden beast` number, since 2 + 530 + 2 + 52 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253025281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13317111 + ... + 13317129.

Almost surely, 2^253025280 is an apocalyptic number.

253025280 is a gapful number since it is divisible by the number (20) 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 253025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490174620).

253025280 is an abundant number, since it is smaller than the sum of its proper divisors (727323960).

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

253025280 is a wasteful number, since it uses less digits than its factorization.

253025280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 253025280 is about 15906.7683707282. The cubic root of 253025280 is about 632.4914193194.

The spelling of 253025280 in words is "two hundred fifty-three million, twenty-five thousand, two hundred eighty".