1253578048 has 84 divisors (see below), whose sum is σ = 2676103360. Its totient is φ = 581008896.

The previous prime is 1253578009. The next prime is 1253578091. The reversal of 1253578048 is 8408753521.

It is a junction number, because it is equal to n+sod(n) for n = 1253577995 and 1253578013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3415561 + ... + 3415927.

Almost surely, 2^1253578048 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 1253578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338051680).

1253578048 is an abundant number, since it is smaller than the sum of its proper divisors (1422525312).

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

1253578048 is an equidigital number, since it uses as much as digits as its factorization.

1253578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 1253578048 is about 35405.9041404114. The cubic root of 1253578048 is about 1078.2441886439.

The spelling of 1253578048 in words is "one billion, two hundred fifty-three million, five hundred seventy-eight thousand, forty-eight".