253730541 has 48 divisors (see below), whose sum is σ = 379059200. Its totient is φ = 150486336.

The previous prime is 253730501. The next prime is 253730551. The reversal of 253730541 is 145037352.

It is not a de Polignac number, because 253730541 - 2¹⁷ = 253599469 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 253730499 and 253730508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253730501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3211740 + ... + 3211818.

Almost surely, 2^253730541 is an apocalyptic number.

It is an amenable number.

253730541 is a deficient number, since it is larger than the sum of its proper divisors (125328659).

253730541 is a wasteful number, since it uses less digits than its factorization.

253730541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 253730541 is about 15928.9215265818. The cubic root of 253730541 is about 633.0785249823.

Adding to 253730541 its reverse (145037352), we get a palindrome (398767893).

The spelling of 253730541 in words is "two hundred fifty-three million, seven hundred thirty thousand, five hundred forty-one".