1020282516 has 72 divisors (see below), whose sum is σ = 2861258400. Its totient is φ = 303929280.

The previous prime is 1020282493. The next prime is 1020282517. The reversal of 1020282516 is 6152820201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020282516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020282517) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1530 + ... + 45198.

It is an arithmetic number, because the mean of its divisors is an integer number (39739700).

Almost surely, 2^1020282516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020282516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430629200).

1020282516 is an abundant number, since it is smaller than the sum of its proper divisors (1840975884).

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

1020282516 is a wasteful number, since it uses less digits than its factorization.

1020282516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43749 (or 43744 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1020282516 is about 31941.8614986666. The cubic root of 1020282516 is about 1006.7156379161.

The spelling of 1020282516 in words is "one billion, twenty million, two hundred eighty-two thousand, five hundred sixteen".