253401005 has 64 divisors (see below), whose sum is σ = 392878080. Its totient is φ = 153964800.

The previous prime is 253400999. The next prime is 253401007. The reversal of 253401005 is 500104352.

It is not a de Polignac number, because 253401005 - 2¹² = 253396909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253401007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312050 + ... + 312860.

It is an arithmetic number, because the mean of its divisors is an integer number (6138720).

Almost surely, 2^253401005 is an apocalyptic number.

It is an amenable number.

253401005 is a deficient number, since it is larger than the sum of its proper divisors (139477075).

253401005 is a wasteful number, since it uses less digits than its factorization.

253401005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 253401005 is about 15918.5742137919. The cubic root of 253401005 is about 632.8043331223.

Adding to 253401005 its reverse (500104352), we get a palindrome (753505357).

The spelling of 253401005 in words is "two hundred fifty-three million, four hundred one thousand, five".