1305253120 has 36 divisors (see below), whose sum is σ = 3126492180. Its totient is φ = 522100736.

The previous prime is 1305253111. The next prime is 1305253123. The reversal of 1305253120 is 213525031.

It can be written as a sum of positive squares in 2 ways, for example, as 474891264 + 830361856 = 21792^2 + 28816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1305253091 and 1305253100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305253123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 508585 + ... + 511144.

It is an arithmetic number, because the mean of its divisors is an integer number (86847005).

Almost surely, 2^1305253120 is an apocalyptic number.

1305253120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305253120 is an abundant number, since it is smaller than the sum of its proper divisors (1821239060).

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

1305253120 is an equidigital number, since it uses as much as digits as its factorization.

1305253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019750 (or 1019736 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1305253120 is about 36128.2869784882. The cubic root of 1305253120 is about 1092.8609632385.

Adding to 1305253120 its reverse (213525031), we get a palindrome (1518778151).

The spelling of 1305253120 in words is "one billion, three hundred five million, two hundred fifty-three thousand, one hundred twenty".