1252555520 has 72 divisors (see below), whose sum is σ = 3006642240. Its totient is φ = 499957760.

The previous prime is 1252555483. The next prime is 1252555541. The reversal of 1252555520 is 255552521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 919640 + ... + 921000.

It is an arithmetic number, because the mean of its divisors is an integer number (41758920).

Almost surely, 2^1252555520 is an apocalyptic number.

1252555520 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 1252555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503321120).

1252555520 is an abundant number, since it is smaller than the sum of its proper divisors (1754086720).

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

1252555520 is an equidigital number, since it uses as much as digits as its factorization.

1252555520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 32.

The square root of 1252555520 is about 35391.4611170548. The cubic root of 1252555520 is about 1077.9509387778.

Subtracting from 1252555520 its reverse (255552521), we obtain a cube (997002999 = 999³).

The spelling of 1252555520 in words is "one billion, two hundred fifty-two million, five hundred fifty-five thousand, five hundred twenty".