253019144 has 48 divisors (see below), whose sum is σ = 554070780. Its totient is φ = 108003840.

The previous prime is 253019131. The next prime is 253019149. The reversal of 253019144 is 441910352.

It can be written as a sum of positive squares in 2 ways, for example, as 251603044 + 1416100 = 15862^2 + 1190^2 .

It is not an unprimeable number, because it can be changed into a prime (253019149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109004 + ... + 111300.

Almost surely, 2^253019144 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 253019144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277035390).

253019144 is an abundant number, since it is smaller than the sum of its proper divisors (301051636).

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

253019144 is a wasteful number, since it uses less digits than its factorization.

253019144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 253019144 is about 15906.5754956873. The cubic root of 253019144 is about 632.4863065250.

Adding to 253019144 its reverse (441910352), we get a palindrome (694929496).

The spelling of 253019144 in words is "two hundred fifty-three million, nineteen thousand, one hundred forty-four".