1601516308500 has 144 divisors (see below), whose sum is σ = 5068711327680. Its totient is φ = 425679537600.

The previous prime is 1601516308477. The next prime is 1601516308507. The reversal of 1601516308500 is 58036151061.

1601516308500 is a `hidden beast` number, since 1 + 6 + 0 + 15 + 1 + 630 + 8 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601516308507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801871 + ... + 1961129.

It is an arithmetic number, because the mean of its divisors is an integer number (35199384220).

Almost surely, 2^{1601516308500} is an apocalyptic number.

1601516308500 is a gapful number since it is divisible by the number (10) 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 1601516308500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534355663840).

1601516308500 is an abundant number, since it is smaller than the sum of its proper divisors (3467195019180).

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

1601516308500 is a wasteful number, since it uses less digits than its factorization.

1601516308500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159591 (or 1159576 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1601516308500 in words is "one trillion, six hundred one billion, five hundred sixteen million, three hundred eight thousand, five hundred".