1252961280 has 132 divisors (see below), whose sum is σ = 4341637872. Its totient is φ = 334110720.

The previous prime is 1252961279. The next prime is 1252961291. The reversal of 1252961280 is 821692521.

1252961280 is a `hidden beast` number, since 1 + 2 + 529 + 6 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32485 + ... + 59675.

It is an arithmetic number, because the mean of its divisors is an integer number (32891196).

Almost surely, 2^1252961280 is an apocalyptic number.

1252961280 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 1252961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170818936).

1252961280 is an abundant number, since it is smaller than the sum of its proper divisors (3088676592).

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

1252961280 is a wasteful number, since it uses less digits than its factorization.

1252961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27222 (or 27201 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1252961280 is about 35397.1931090588. The cubic root of 1252961280 is about 1078.0673254088.

The spelling of 1252961280 in words is "one billion, two hundred fifty-two million, nine hundred sixty-one thousand, two hundred eighty".