642131510511 has 16 divisors (see below), whose sum is σ = 860301054080. Its totient is φ = 426025141920.

The previous prime is 642131510479. The next prime is 642131510513. The reversal of 642131510511 is 115015131246.

It is not a de Polignac number, because 642131510511 - 2⁵ = 642131510479 is a prime.

It is a super-2 number, since 2×642131510511² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642131510513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9930561 + ... + 9995013.

It is an arithmetic number, because the mean of its divisors is an integer number (53768815880).

Almost surely, 2^642131510511 is an apocalyptic number.

642131510511 is a deficient number, since it is larger than the sum of its proper divisors (218169543569).

642131510511 is a wasteful number, since it uses less digits than its factorization.

642131510511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80406.

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 642131510511 its reverse (115015131246), we get a palindrome (757146641757).

The spelling of 642131510511 in words is "six hundred forty-two billion, one hundred thirty-one million, five hundred ten thousand, five hundred eleven".