1252216560 has 240 divisors, whose sum is σ = 4544950176. Its totient is φ = 284368896.

The previous prime is 1252216543. The next prime is 1252216591. The reversal of 1252216560 is 656122521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2739852 + ... + 2740308.

Almost surely, 2^1252216560 is an apocalyptic number.

1252216560 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 1252216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272475088).

1252216560 is an abundant number, since it is smaller than the sum of its proper divisors (3292733616).

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

1252216560 is a wasteful number, since it uses less digits than its factorization.

1252216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1252216560 is about 35386.6720673194. The cubic root of 1252216560 is about 1077.8536935303.

The spelling of 1252216560 in words is "one billion, two hundred fifty-two million, two hundred sixteen thousand, five hundred sixty".