513524516065 has 24 divisors (see below), whose sum is σ = 678275357760. Its totient is φ = 372958338720.

The previous prime is 513524516059. The next prime is 513524516093. The reversal of 513524516065 is 560615425315.

It is a happy number.

It is not a de Polignac number, because 513524516065 - 2¹¹ = 513524514017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143935 + ... + 1023604.

It is an arithmetic number, because the mean of its divisors is an integer number (28261473240).

Almost surely, 2^513524516065 is an apocalyptic number.

513524516065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513524516065 is a deficient number, since it is larger than the sum of its proper divisors (164750841695).

513524516065 is a wasteful number, since it uses less digits than its factorization.

513524516065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168293 (or 1168282 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 43.

The spelling of 513524516065 in words is "five hundred thirteen billion, five hundred twenty-four million, five hundred sixteen thousand, sixty-five".