1252265280 has 224 divisors, whose sum is σ = 4566245376. Its totient is φ = 284829696.

The previous prime is 1252265251. The next prime is 1252265293. The reversal of 1252265280 is 825622521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2062737 + ... + 2063343.

It is an arithmetic number, because the mean of its divisors is an integer number (20385024).

Almost surely, 2^1252265280 is an apocalyptic number.

1252265280 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 1252265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283122688).

1252265280 is an abundant number, since it is smaller than the sum of its proper divisors (3313980096).

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

1252265280 is a wasteful number, since it uses less digits than its factorization.

1252265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1252265280 is about 35387.3604553942. The cubic root of 1252265280 is about 1077.8676720365.

The spelling of 1252265280 in words is "one billion, two hundred fifty-two million, two hundred sixty-five thousand, two hundred eighty".