1253625840 has 120 divisors (see below), whose sum is σ = 4312880208. Its totient is φ = 326138880.

The previous prime is 1253625829. The next prime is 1253625859. The reversal of 1253625840 is 485263521.

1253625840 is a `hidden beast` number, since 1 + 25 + 3 + 625 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1253625795 and 1253625804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8287 + ... + 50753.

Almost surely, 2^1253625840 is an apocalyptic number.

1253625840 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 1253625840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156440104).

1253625840 is an abundant number, since it is smaller than the sum of its proper divisors (3059254368).

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

1253625840 is a wasteful number, since it uses less digits than its factorization.

1253625840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42527 (or 42518 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1253625840 is about 35406.5790496625. The cubic root of 1253625840 is about 1078.2578909662.

The spelling of 1253625840 in words is "one billion, two hundred fifty-three million, six hundred twenty-five thousand, eight hundred forty".