253300541 has 12 divisors (see below), whose sum is σ = 285168828. Its totient is φ = 223643904.

The previous prime is 253300513. The next prime is 253300547. The reversal of 253300541 is 145003352.

It can be written as a sum of positive squares in 2 ways, for example, as 15832441 + 237468100 = 3979^2 + 15410^2 .

It is not a de Polignac number, because 253300541 - 2⁶ = 253300477 is a prime.

It is a super-2 number, since 2×253300541² = 128322328141785362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253300547) 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, 11540 + ... + 25293.

It is an arithmetic number, because the mean of its divisors is an integer number (23764069).

Almost surely, 2^253300541 is an apocalyptic number.

It is an amenable number.

253300541 is a deficient number, since it is larger than the sum of its proper divisors (31868287).

253300541 is a wasteful number, since it uses less digits than its factorization.

253300541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36892 (or 36869 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 253300541 is about 15915.4183419727. The cubic root of 253300541 is about 632.7206943354.

Adding to 253300541 its reverse (145003352), we get a palindrome (398303893).

The spelling of 253300541 in words is "two hundred fifty-three million, three hundred thousand, five hundred forty-one".