965052517 has 16 divisors (see below), whose sum is σ = 1172868480. Its totient is φ = 781905600.

The previous prime is 965052511. The next prime is 965052589. The reversal of 965052517 is 715250569.

It is a cyclic number.

It is not a de Polignac number, because 965052517 - 2²⁷ = 830834789 is a prime.

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 965052517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965052511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 112209 + ... + 120502.

It is an arithmetic number, because the mean of its divisors is an integer number (73304280).

Almost surely, 2^965052517 is an apocalyptic number.

It is an amenable number.

965052517 is a deficient number, since it is larger than the sum of its proper divisors (207815963).

965052517 is a wasteful number, since it uses less digits than its factorization.

965052517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232764.

The product of its (nonzero) digits is 94500, while the sum is 40.

The square root of 965052517 is about 31065.2944135413. The cubic root of 965052517 is about 988.2124383373.

It can be divided in two parts, 965052 and 517, that added together give a palindrome (965569).

The spelling of 965052517 in words is "nine hundred sixty-five million, fifty-two thousand, five hundred seventeen".