253106405 has 8 divisors (see below), whose sum is σ = 303982200. Its totient is φ = 202315456.

The previous prime is 253106389. The next prime is 253106411. The reversal of 253106405 is 504601352.

253106405 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 18679684 + 234426721 = 4322^2 + 15311^2 .

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 253106405 - 2⁴ = 253106389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14450 + ... + 26739.

It is an arithmetic number, because the mean of its divisors is an integer number (37997775).

Almost surely, 2^253106405 is an apocalyptic number.

It is an amenable number.

253106405 is a deficient number, since it is larger than the sum of its proper divisors (50875795).

253106405 is a wasteful number, since it uses less digits than its factorization.

253106405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42423.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 253106405 is about 15909.3181814935. The cubic root of 253106405 is about 632.5590085916.

Adding to 253106405 its reverse (504601352), we get a palindrome (757707757).

The spelling of 253106405 in words is "two hundred fifty-three million, one hundred six thousand, four hundred five".