828780413569 has 16 divisors (see below), whose sum is σ = 870488824320. Its totient is φ = 788290401600.

The previous prime is 828780413537. The next prime is 828780413599. The reversal of 828780413569 is 965314087828.

It is a cyclic number.

It is not a de Polignac number, because 828780413569 - 2⁵ = 828780413537 is a prime.

It is a super-3 number, since 3×828780413569³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828780413599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108429 + ... + 1698874.

It is an arithmetic number, because the mean of its divisors is an integer number (54405551520).

It is a 1-persistent number, because it is pandigital, but 2⋅828780413569 = 1657560827138 is not.

Almost surely, 2^828780413569 is an apocalyptic number.

It is an amenable number.

828780413569 is a deficient number, since it is larger than the sum of its proper divisors (41708410751).

828780413569 is a wasteful number, since it uses less digits than its factorization.

828780413569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807520.

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 828780413569 in words is "eight hundred twenty-eight billion, seven hundred eighty million, four hundred thirteen thousand, five hundred sixty-nine".