1253305320 has 64 divisors (see below), whose sum is σ = 3770694720. Its totient is φ = 333256704.

The previous prime is 1253305301. The next prime is 1253305373. The reversal of 1253305320 is 235033521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27567 + ... + 57153.

It is an arithmetic number, because the mean of its divisors is an integer number (58917105).

Almost surely, 2^1253305320 is an apocalyptic number.

1253305320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885347360).

1253305320 is an abundant number, since it is smaller than the sum of its proper divisors (2517389400).

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

1253305320 is a wasteful number, since it uses less digits than its factorization.

1253305320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29954 (or 29950 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 1253305320 is about 35402.0524828717. The cubic root of 1253305320 is about 1078.1659888302.

Adding to 1253305320 its reverse (235033521), we get a palindrome (1488338841).

The spelling of 1253305320 in words is "one billion, two hundred fifty-three million, three hundred five thousand, three hundred twenty".