531142241135 has 16 divisors (see below), whose sum is σ = 695339219232. Its totient is φ = 386270966400.

The previous prime is 531142241129. The next prime is 531142241167.

531142241135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 531142241135 - 2²⁴ = 531125463919 is a prime.

It is a super-2 number, since 2×531142241135² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455005 + ... + 1783065.

It is an arithmetic number, because the mean of its divisors is an integer number (43458701202).

Almost surely, 2^531142241135 is an apocalyptic number.

531142241135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

531142241135 is a deficient number, since it is larger than the sum of its proper divisors (164196978097).

531142241135 is a wasteful number, since it uses less digits than its factorization.

531142241135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357514.

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 531142 and 241135, that added together give a palindrome (772277).

The spelling of 531142241135 in words is "five hundred thirty-one billion, one hundred forty-two million, two hundred forty-one thousand, one hundred thirty-five".