1616510005506 has 96 divisors (see below), whose sum is σ = 4115472641280. Its totient is φ = 453277490400.

The previous prime is 1616510005489. The next prime is 1616510005511. The reversal of 1616510005506 is 6055000156161.

It is a super-3 number, since 3×1616510005506³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4834680 + ... + 5158211.

It is an arithmetic number, because the mean of its divisors is an integer number (42869506680).

Almost surely, 2^{1616510005506} is an apocalyptic number.

1616510005506 is an abundant number, since it is smaller than the sum of its proper divisors (2498962635774).

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

1616510005506 is a wasteful number, since it uses less digits than its factorization.

1616510005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9992972 (or 9992969 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1616510005506 in words is "one trillion, six hundred sixteen billion, five hundred ten million, five thousand, five hundred six".