253319056 has 45 divisors (see below), whose sum is σ = 516055729. Its totient is φ = 120452288.

The previous prime is 253319051. The next prime is 253319069. The reversal of 253319056 is 650913352.

It is a happy number.

The square root of 253319056 is 15916.

It is a perfect power (a square), and thus also a powerful number.

253319056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 230432400 + 22886656 = 15180^2 + 4784^2 .

It is a super-2 number, since 2×253319056² = 128341088265462272, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253319051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1464186 + ... + 1464358.

Almost surely, 2^253319056 is an apocalyptic number.

253319056 is the 15916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253319056

253319056 is an abundant number, since it is smaller than the sum of its proper divisors (262736673).

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

253319056 is an equidigital number, since it uses as much as digits as its factorization.

253319056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The cubic root of 253319056 is about 632.7361101970.

The spelling of 253319056 in words is "two hundred fifty-three million, three hundred nineteen thousand, fifty-six".