1282152564 has 288 divisors, whose sum is σ = 4312928256. Its totient is φ = 323326080.

The previous prime is 1282152517. The next prime is 1282152581. The reversal of 1282152564 is 4652512821.

1282152564 is a `hidden beast` number, since 1 + 2 + 82 + 15 + 2 + 564 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2768997 + ... + 2769459.

Almost surely, 2^1282152564 is an apocalyptic number.

1282152564 is a gapful number since it is divisible by the number (14) 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 1282152564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156464128).

1282152564 is an abundant number, since it is smaller than the sum of its proper divisors (3030775692).

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

1282152564 is a wasteful number, since it uses less digits than its factorization.

1282152564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 523 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 1282152564 is about 35807.1579994838. The cubic root of 1282152564 is about 1086.3753471953.

The spelling of 1282152564 in words is "one billion, two hundred eighty-two million, one hundred fifty-two thousand, five hundred sixty-four".