1252569680 has 160 divisors (see below), whose sum is σ = 3187296000. Its totient is φ = 456192000.

The previous prime is 1252569667. The next prime is 1252569691. The reversal of 1252569680 is 869652521.

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, 6294221 + ... + 6294419.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^1252569680 is an apocalyptic number.

1252569680 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 1252569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648000).

1252569680 is an abundant number, since it is smaller than the sum of its proper divisors (1934726320).

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

1252569680 is a wasteful number, since it uses less digits than its factorization.

1252569680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 1252569680 is about 35391.6611647433. The cubic root of 1252569680 is about 1077.9550008007.

The spelling of 1252569680 in words is "one billion, two hundred fifty-two million, five hundred sixty-nine thousand, six hundred eighty".