1282510152 has 256 divisors, whose sum is σ = 4596480000. Its totient is φ = 321511680.

The previous prime is 1282510147. The next prime is 1282510211. The reversal of 1282510152 is 2510152821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 480999 + ... + 483657.

It is an arithmetic number, because the mean of its divisors is an integer number (17955000).

Almost surely, 2^1282510152 is an apocalyptic number.

1282510152 is a gapful number since it is divisible by the number (12) 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 1282510152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240000).

1282510152 is an abundant number, since it is smaller than the sum of its proper divisors (3313969848).

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

1282510152 is a wasteful number, since it uses less digits than its factorization.

1282510152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1282510152 is about 35812.1508988220. The cubic root of 1282510152 is about 1086.4763332738.

Adding to 1282510152 its reverse (2510152821), we get a palindrome (3792662973).

The spelling of 1282510152 in words is "one billion, two hundred eighty-two million, five hundred ten thousand, one hundred fifty-two".