253105420 has 24 divisors (see below), whose sum is σ = 532201824. Its totient is φ = 101112576.

The previous prime is 253105393. The next prime is 253105427. The reversal of 253105420 is 24501352.

It is a junction number, because it is equal to n+sod(n) for n = 253105391 and 253105400.

It is not an unprimeable number, because it can be changed into a prime (253105427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8772 + ... + 24148.

It is an arithmetic number, because the mean of its divisors is an integer number (22175076).

Almost surely, 2^253105420 is an apocalyptic number.

253105420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253105420 is an abundant number, since it is smaller than the sum of its proper divisors (279096404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253105420 is a wasteful number, since it uses less digits than its factorization.

253105420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16209 (or 16207 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 253105420 is about 15909.2872247628. The cubic root of 253105420 is about 632.5581880258.

Adding to 253105420 its reverse (24501352), we get a palindrome (277606772).

The spelling of 253105420 in words is "two hundred fifty-three million, one hundred five thousand, four hundred twenty".