1253325920 has 144 divisors (see below), whose sum is σ = 3757794768. Its totient is φ = 390620160.

The previous prime is 1253325907. The next prime is 1253325929. The reversal of 1253325920 is 295233521.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253325929) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78974 + ... + 93506.

It is an arithmetic number, because the mean of its divisors is an integer number (26095797).

Almost surely, 2^1253325920 is an apocalyptic number.

1253325920 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 1253325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878897384).

1253325920 is an abundant number, since it is smaller than the sum of its proper divisors (2504468848).

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

1253325920 is a wasteful number, since it uses less digits than its factorization.

1253325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14573 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 1253325920 is about 35402.3434252593. The cubic root of 1253325920 is about 1078.1718959031.

The spelling of 1253325920 in words is "one billion, two hundred fifty-three million, three hundred twenty-five thousand, nine hundred twenty".