253420245441 has 48 divisors (see below), whose sum is σ = 409302848448. Its totient is φ = 149797296000.

The previous prime is 253420245431. The next prime is 253420245479. The reversal of 253420245441 is 144542024352.

253420245441 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 202 + 4 + 5 + 441 = 666.

It is not a de Polignac number, because 253420245441 - 2¹³ = 253420237249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253420245396 and 253420245405.

It is not an unprimeable number, because it can be changed into a prime (253420245431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480795 + ... + 859071.

It is an arithmetic number, because the mean of its divisors is an integer number (8527142676).

Almost surely, 2^253420245441 is an apocalyptic number.

It is an amenable number.

253420245441 is a deficient number, since it is larger than the sum of its proper divisors (155882603007).

253420245441 is a wasteful number, since it uses less digits than its factorization.

253420245441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378462 (or 378459 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 253420245441 its reverse (144542024352), we get a palindrome (397962269793).

Subtracting from 253420245441 its reverse (144542024352), we obtain a square (108878221089 = 329967²).

The spelling of 253420245441 in words is "two hundred fifty-three billion, four hundred twenty million, two hundred forty-five thousand, four hundred forty-one".