1315514016 has 72 divisors (see below), whose sum is σ = 3861696384. Its totient is φ = 424356480.

The previous prime is 1315513999. The next prime is 1315514027. The reversal of 1315514016 is 6104155131.

1315514016 is a `hidden beast` number, since 131 + 5 + 514 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 64746 + ... + 82601.

It is an arithmetic number, because the mean of its divisors is an integer number (53634672).

Almost surely, 2^1315514016 is an apocalyptic number.

1315514016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1315514016 is an abundant number, since it is smaller than the sum of its proper divisors (2546182368).

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

1315514016 is a wasteful number, since it uses less digits than its factorization.

1315514016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147394 (or 147383 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1315514016 is about 36270.0153846121. The cubic root of 1315514016 is about 1095.7172357368.

Adding to 1315514016 its reverse (6104155131), we get a palindrome (7419669147).

The spelling of 1315514016 in words is "one billion, three hundred fifteen million, five hundred fourteen thousand, sixteen".