1252761280 has 112 divisors (see below), whose sum is σ = 3171907296. Its totient is φ = 469647360.

The previous prime is 1252761271. The next prime is 1252761287. The reversal of 1252761280 is 821672521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1252761287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2289967 + ... + 2290513.

Almost surely, 2^1252761280 is an apocalyptic number.

1252761280 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 1252761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585953648).

1252761280 is an abundant number, since it is smaller than the sum of its proper divisors (1919146016).

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

1252761280 is a wasteful number, since it uses less digits than its factorization.

1252761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1252761280 is about 35394.3679135537. The cubic root of 1252761280 is about 1078.0099613221.

The spelling of 1252761280 in words is "one billion, two hundred fifty-two million, seven hundred sixty-one thousand, two hundred eighty".