253093819 has 16 divisors (see below), whose sum is σ = 281696256. Its totient is φ = 225453600.

The previous prime is 253093793. The next prime is 253093823. The reversal of 253093819 is 918390352.

It is a cyclic number.

It is not a de Polignac number, because 253093819 - 2¹¹ = 253091771 is a prime.

It is a super-2 number, since 2×253093819² = 128112962432009522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253093859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232294 + ... + 233380.

It is an arithmetic number, because the mean of its divisors is an integer number (17606016).

Almost surely, 2^253093819 is an apocalyptic number.

253093819 is a deficient number, since it is larger than the sum of its proper divisors (28602437).

253093819 is a wasteful number, since it uses less digits than its factorization.

253093819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 253093819 is about 15908.9226222268. The cubic root of 253093819 is about 632.5485235157.

The spelling of 253093819 in words is "two hundred fifty-three million, ninety-three thousand, eight hundred nineteen".