1253305328 has 80 divisors (see below), whose sum is σ = 2780393472. Its totient is φ = 541728000.

The previous prime is 1253305301. The next prime is 1253305373. The reversal of 1253305328 is 8235033521.

It is a junction number, because it is equal to n+sod(n) for n = 1253305294 and 1253305303.

It is a congruent number.

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, 772358 + ... + 773978.

Almost surely, 2^1253305328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253305328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390196736).

1253305328 is an abundant number, since it is smaller than the sum of its proper divisors (1527088144).

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

1253305328 is a wasteful number, since it uses less digits than its factorization.

1253305328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 1253305328 is about 35402.0525958595. The cubic root of 1253305328 is about 1078.1659911242.

Adding to 1253305328 its reverse (8235033521), we get a palindrome (9488338849).

The spelling of 1253305328 in words is "one billion, two hundred fifty-three million, three hundred five thousand, three hundred twenty-eight".