828510142411 has 16 divisors (see below), whose sum is σ = 996733576960. Its totient is φ = 672755142240.

The previous prime is 828510142399. The next prime is 828510142423. The reversal of 828510142411 is 114241015828.

It is an interprime number because it is at equal distance from previous prime (828510142399) and next prime (828510142423).

It is a cyclic number.

It is not a de Polignac number, because 828510142411 - 2⁵ = 828510142379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828510142711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5798845 + ... + 5940001.

It is an arithmetic number, because the mean of its divisors is an integer number (62295848560).

Almost surely, 2^828510142411 is an apocalyptic number.

828510142411 is a deficient number, since it is larger than the sum of its proper divisors (168223434549).

828510142411 is a wasteful number, since it uses less digits than its factorization.

828510142411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185314.

The product of its (nonzero) digits is 20480, while the sum is 37.

It can be divided in two parts, 828510 and 142411, that added together give a triangular number (970921 = T₁₃₉₃).

The spelling of 828510142411 in words is "eight hundred twenty-eight billion, five hundred ten million, one hundred forty-two thousand, four hundred eleven".