253661044 has 72 divisors (see below), whose sum is σ = 561661128. Its totient is φ = 99348480.

The previous prime is 253661041. The next prime is 253661047. The reversal of 253661044 is 440166352.

It is an interprime number because it is at equal distance from previous prime (253661041) and next prime (253661047).

It can be written as a sum of positive squares in 4 ways, for example, as 22924944 + 230736100 = 4788^2 + 15190^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253660997 and 253661015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253661041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287484 + ... + 288364.

It is an arithmetic number, because the mean of its divisors is an integer number (7800849).

Almost surely, 2^253661044 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 253661044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280830564).

253661044 is an abundant number, since it is smaller than the sum of its proper divisors (308000084).

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

253661044 is a wasteful number, since it uses less digits than its factorization.

253661044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 253661044 is about 15926.7399049523. The cubic root of 253661044 is about 633.0207194647.

The spelling of 253661044 in words is "two hundred fifty-three million, six hundred sixty-one thousand, forty-four".