1283506560 has 512 divisors, whose sum is σ = 5299430400. Its totient is φ = 291133440.

The previous prime is 1283506529. The next prime is 1283506589. The reversal of 1283506560 is 656053821.

1283506560 is a `hidden beast` number, since 12 + 83 + 5 + 0 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9797695 + ... + 9797825.

It is an arithmetic number, because the mean of its divisors is an integer number (10350450).

Almost surely, 2^1283506560 is an apocalyptic number.

1283506560 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 1283506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649715200).

1283506560 is an abundant number, since it is smaller than the sum of its proper divisors (4015923840).

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

1283506560 is an frugal number, since it uses more digits than its factorization.

1283506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1283506560 is about 35826.0597889302. The cubic root of 1283506560 is about 1086.7576288959.

The spelling of 1283506560 in words is "one billion, two hundred eighty-three million, five hundred six thousand, five hundred sixty".