253106641 has 8 divisors (see below), whose sum is σ = 258192360. Its totient is φ = 248032512.

The previous prime is 253106627. The next prime is 253106647. The reversal of 253106641 is 146601352.

253106641 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 4 ways, for example, as 13476241 + 239630400 = 3671^2 + 15480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253106641 - 2¹⁹ = 252582353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253106647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51111 + ... + 55843.

It is an arithmetic number, because the mean of its divisors is an integer number (32274045).

Almost surely, 2^253106641 is an apocalyptic number.

It is an amenable number.

253106641 is a deficient number, since it is larger than the sum of its proper divisors (5085719).

253106641 is a wasteful number, since it uses less digits than its factorization.

253106641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 253106641 is about 15909.3255985287. The cubic root of 253106641 is about 632.5592051939.

Adding to 253106641 its reverse (146601352), we get a palindrome (399707993).

The spelling of 253106641 in words is "two hundred fifty-three million, one hundred six thousand, six hundred forty-one".