1252655560 has 96 divisors (see below), whose sum is σ = 3203920440. Its totient is φ = 438110208.

The previous prime is 1252655549. The next prime is 1252655561. The reversal of 1252655560 is 655562521.

It can be written as a sum of positive squares in 4 ways, for example, as 416404836 + 836250724 = 20406^2 + 28918^2 .

It is not an unprimeable number, because it can be changed into a prime (1252655561) 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 23 ways as a sum of consecutive naturals, for example, 184384 + ... + 191056.

Almost surely, 2^1252655560 is an apocalyptic number.

1252655560 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 1252655560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601960220).

1252655560 is an abundant number, since it is smaller than the sum of its proper divisors (1951264880).

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

1252655560 is a wasteful number, since it uses less digits than its factorization.

1252655560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The square root of 1252655560 is about 35392.8744240984. The cubic root of 1252655560 is about 1077.9796361993.

It can be divided in two parts, 12526 and 55560, that added together give a palindrome (68086).

The spelling of 1252655560 in words is "one billion, two hundred fifty-two million, six hundred fifty-five thousand, five hundred sixty".