1252091520 has 384 divisors, whose sum is σ = 4584565440. Its totient is φ = 326467584.

The previous prime is 1252091473. The next prime is 1252091527. The reversal of 1252091520 is 251902521.

1252091520 is a `hidden beast` number, since 1 + 2 + 52 + 0 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1252091527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12908112 + ... + 12908208.

Almost surely, 2^1252091520 is an apocalyptic number.

1252091520 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 1252091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292282720).

1252091520 is an abundant number, since it is smaller than the sum of its proper divisors (3332473920).

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

1252091520 is an frugal number, since it uses more digits than its factorization.

1252091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1252091520 is about 35384.9052563378. The cubic root of 1252091520 is about 1077.8178160002.

The spelling of 1252091520 in words is "one billion, two hundred fifty-two million, ninety-one thousand, five hundred twenty".