1252758280 has 64 divisors (see below), whose sum is σ = 2895464880. Its totient is φ = 487526400.

The previous prime is 1252758253. The next prime is 1252758289. The reversal of 1252758280 is 828572521.

It can be written as a sum of positive squares in 8 ways, for example, as 75307684 + 1177450596 = 8678^2 + 34314^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1252758289) 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 15 ways as a sum of consecutive naturals, for example, 755212 + ... + 756868.

Almost surely, 2^1252758280 is an apocalyptic number.

1252758280 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 1252758280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447732440).

1252758280 is an abundant number, since it is smaller than the sum of its proper divisors (1642706600).

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

1252758280 is a wasteful number, since it uses less digits than its factorization.

1252758280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 1252758280 is about 35394.3255339044. The cubic root of 1252758280 is about 1078.0091008143.

It can be divided in two parts, 12527 and 58280, that added together give a palindrome (70807).

The spelling of 1252758280 in words is "one billion, two hundred fifty-two million, seven hundred fifty-eight thousand, two hundred eighty".