1521312016 has 75 divisors (see below), whose sum is σ = 3455960631. Its totient is φ = 648714528.

The previous prime is 1521311999. The next prime is 1521312041. The reversal of 1521312016 is 6102131251.

It is a happy number.

The square root of 1521312016 is 39004.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×1521312016³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7644685 + ... + 7644883.

Almost surely, 2^1521312016 is an apocalyptic number.

1521312016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1521312016 is the 39004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1521312016

1521312016 is an abundant number, since it is smaller than the sum of its proper divisors (1934648615).

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

1521312016 is an frugal number, since it uses more digits than its factorization.

1521312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The cubic root of 1521312016 is about 1150.1101384117.

Adding to 1521312016 its reverse (6102131251), we get a palindrome (7623443267).

The spelling of 1521312016 in words is "one billion, five hundred twenty-one million, three hundred twelve thousand, sixteen".