1253640648 has 48 divisors (see below), whose sum is σ = 3393742320. Its totient is φ = 385734336.

The previous prime is 1253640637. The next prime is 1253640667. The reversal of 1253640648 is 8460463521.

It is a super-3 number, since 3×1253640648³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 11 ways as a sum of consecutive naturals, for example, 150486 + ... + 158597.

It is an arithmetic number, because the mean of its divisors is an integer number (70702965).

Almost surely, 2^1253640648 is an apocalyptic number.

It is an amenable number.

1253640648 is an abundant number, since it is smaller than the sum of its proper divisors (2140101672).

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

1253640648 is a wasteful number, since it uses less digits than its factorization.

1253640648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309118 (or 309101 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1253640648 is about 35406.7881627238. The cubic root of 1253640648 is about 1078.2621364594.

The spelling of 1253640648 in words is "one billion, two hundred fifty-three million, six hundred forty thousand, six hundred forty-eight".