872505517 has 16 divisors (see below), whose sum is σ = 990310720. Its totient is φ = 762048000.

The previous prime is 872505497. The next prime is 872505539. The reversal of 872505517 is 715505278.

It is a cyclic number.

It is not a de Polignac number, because 872505517 - 2¹¹ = 872503469 is a prime.

It is a super-2 number, since 2×872505517² = 1522531754390874578, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 872505517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872505577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257917 + ... + 261277.

It is an arithmetic number, because the mean of its divisors is an integer number (61894420).

Almost surely, 2^872505517 is an apocalyptic number.

It is an amenable number.

872505517 is a deficient number, since it is larger than the sum of its proper divisors (117805203).

872505517 is a wasteful number, since it uses less digits than its factorization.

872505517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444.

The product of its (nonzero) digits is 98000, while the sum is 40.

The square root of 872505517 is about 29538.2043631633. The cubic root of 872505517 is about 955.5558169045. Note that the first 3 decimals are identical.

The spelling of 872505517 in words is "eight hundred seventy-two million, five hundred five thousand, five hundred seventeen".