1515611616 has 96 divisors (see below), whose sum is σ = 4049740800. Its totient is φ = 496235520.

The previous prime is 1515611609. The next prime is 1515611633. The reversal of 1515611616 is 6161165151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528881 + ... + 1529871.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 2^1515611616 is an apocalyptic number.

1515611616 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 1515611616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024870400).

1515611616 is an abundant number, since it is smaller than the sum of its proper divisors (2534129184).

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

1515611616 is a wasteful number, since it uses less digits than its factorization.

1515611616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1264 counting only the distinct ones).

The product of its digits is 5400, while the sum is 33.

The square root of 1515611616 is about 38930.8568618776. The cubic root of 1515611616 is about 1148.6718418472.

Adding to 1515611616 its reverse (6161165151), we get a palindrome (7676776767).

The spelling of 1515611616 in words is "one billion, five hundred fifteen million, six hundred eleven thousand, six hundred sixteen".