1516653152982 has 192 divisors, whose sum is σ = 3793002909696. Its totient is φ = 433480850880.

The previous prime is 1516653152953. The next prime is 1516653153011. The reversal of 1516653152982 is 2892513566151.

1516653152982 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 6 + 5 + 31 + 529 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (1516653152953) and next prime (1516653153011).

It is a super-3 number, since 3×1516653152982³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212800303 + ... + 212807429.

It is an arithmetic number, because the mean of its divisors is an integer number (19755223488).

Almost surely, 2^{1516653152982} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516653152982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896501454848).

1516653152982 is an abundant number, since it is smaller than the sum of its proper divisors (2276349756714).

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

1516653152982 is a wasteful number, since it uses less digits than its factorization.

1516653152982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7815 (or 7812 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 1516653152982 in words is "one trillion, five hundred sixteen billion, six hundred fifty-three million, one hundred fifty-two thousand, nine hundred eighty-two".