816530013 has 48 divisors (see below), whose sum is σ = 1313544960. Its totient is φ = 485592192.

The previous prime is 816529981. The next prime is 816530059. The reversal of 816530013 is 310035618.

816530013 is a `hidden beast` number, since 8 + 1 + 653 + 0 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 816530013 - 2⁵ = 816529981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816530513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455523 + ... + 457311.

It is an arithmetic number, because the mean of its divisors is an integer number (27365520).

Almost surely, 2^816530013 is an apocalyptic number.

816530013 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

816530013 is a deficient number, since it is larger than the sum of its proper divisors (497014947).

816530013 is a wasteful number, since it uses less digits than its factorization.

816530013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 816530013 is about 28574.9892913366. The cubic root of 816530013 is about 934.6680217331.

The spelling of 816530013 in words is "eight hundred sixteen million, five hundred thirty thousand, thirteen".