253733041 has 9 divisors (see below), whose sum is σ = 269824449. Its totient is φ = 238552704.

The previous prime is 253733023. The next prime is 253733071. The reversal of 253733041 is 140337352.

The square root of 253733041 is 15929.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16573041 + 237160000 = 4071^2 + 15400^2 .

It is not a de Polignac number, because 253733041 - 2⁵ = 253733009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253733021) 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, 270325 + ... + 271261.

Almost surely, 2^253733041 is an apocalyptic number.

253733041 is the 15929-th square number.

253733041 is the 7965-th centered octagonal number.

It is an amenable number.

253733041 is a deficient number, since it is larger than the sum of its proper divisors (16091408).

253733041 is an frugal number, since it uses more digits than its factorization.

253733041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The cubic root of 253733041 is about 633.0806042106.

The spelling of 253733041 in words is "two hundred fifty-three million, seven hundred thirty-three thousand, forty-one".