10217405765 has 16 divisors (see below), whose sum is σ = 14298412800. Its totient is φ = 7006219920.

The previous prime is 10217405729. The next prime is 10217405767. The reversal of 10217405765 is 56750471201.

It is not a de Polignac number, because 10217405765 - 2¹⁴ = 10217389381 is a prime.

It is a super-3 number, since 3×10217405765³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217405767) 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, 2977121 + ... + 2980550.

It is an arithmetic number, because the mean of its divisors is an integer number (893650800).

Almost surely, 2^10217405765 is an apocalyptic number.

It is an amenable number.

10217405765 is a deficient number, since it is larger than the sum of its proper divisors (4081007035).

10217405765 is an frugal number, since it uses more digits than its factorization.

10217405765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957697 (or 5957683 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

Adding to 10217405765 its reverse (56750471201), we get a palindrome (66967876966).

The spelling of 10217405765 in words is "ten billion, two hundred seventeen million, four hundred five thousand, seven hundred sixty-five".