1253521920 has 240 divisors, whose sum is σ = 4663014048. Its totient is φ = 286433280.

The previous prime is 1253521901. The next prime is 1253521931. The reversal of 1253521920 is 291253521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 374655 + ... + 377985.

Almost surely, 2^1253521920 is an apocalyptic number.

1253521920 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 1253521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331507024).

1253521920 is an abundant number, since it is smaller than the sum of its proper divisors (3409492128).

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

1253521920 is an equidigital number, since it uses as much as digits as its factorization.

1253521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1253521920 is about 35405.1114953759. Note that the first 3 decimals coincide. The cubic root of 1253521920 is about 1078.2280958836.

The spelling of 1253521920 in words is "one billion, two hundred fifty-three million, five hundred twenty-one thousand, nine hundred twenty".