1512982016 has 120 divisors (see below), whose sum is σ = 3787882560. Its totient is φ = 598413312.

The previous prime is 1512981949. The next prime is 1512982039. The reversal of 1512982016 is 6102892151.

It is a super-2 number, since 2×1512982016² = 4578229161478848512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323825 + ... + 328463.

It is an arithmetic number, because the mean of its divisors is an integer number (31565688).

Almost surely, 2^1512982016 is an apocalyptic number.

1512982016 is a gapful number since it is divisible by the number (16) 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 1512982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893941280).

1512982016 is an abundant number, since it is smaller than the sum of its proper divisors (2274900544).

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

1512982016 is an equidigital number, since it uses as much as digits as its factorization.

1512982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 1512982016 is about 38897.0695040128. The cubic root of 1512982016 is about 1148.0071385636.

The spelling of 1512982016 in words is "one billion, five hundred twelve million, nine hundred eighty-two thousand, sixteen".