1253503040 has 56 divisors (see below), whose sum is σ = 2992038720. Its totient is φ = 500203008.

The previous prime is 1253503039. The next prime is 1253503051. The reversal of 1253503040 is 403053521.

It is a junction number, because it is equal to n+sod(n) for n = 1253502997 and 1253503015.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 136019 + ... + 144941.

Almost surely, 2^1253503040 is an apocalyptic number.

1253503040 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 1253503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496019360).

1253503040 is an abundant number, since it is smaller than the sum of its proper divisors (1738535680).

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

1253503040 is an equidigital number, since it uses as much as digits as its factorization.

1253503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9379 (or 9369 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1253503040 is about 35404.8448662044. The cubic root of 1253503040 is about 1078.2226825895. Note that the first 3 decimals are identical.

Adding to 1253503040 its reverse (403053521), we get a palindrome (1656556561).

The spelling of 1253503040 in words is "one billion, two hundred fifty-three million, five hundred three thousand, forty".