253971288 has 80 divisors (see below), whose sum is σ = 714079080. Its totient is φ = 84333312.

The previous prime is 253971257. The next prime is 253971337. The reversal of 253971288 is 882179352.

It is a happy number.

253971288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217795 + ... + 218957.

Almost surely, 2^253971288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253971288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357039540).

253971288 is an abundant number, since it is smaller than the sum of its proper divisors (460107792).

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

253971288 is a wasteful number, since it uses less digits than its factorization.

253971288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1505 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 253971288 is about 15936.4766494982. The cubic root of 253971288 is about 633.2786895299.

The spelling of 253971288 in words is "two hundred fifty-three million, nine hundred seventy-one thousand, two hundred eighty-eight".