514131 has 12 divisors (see below), whose sum is σ = 729432. Its totient is φ = 322048.

The previous prime is 514127. The next prime is 514147. The reversal of 514131 is 131415.

It is not a de Polignac number, because 514131 - 2² = 514127 is a prime.

It is a super-2 number, since 2×514131² = 528661370322, which contains 22 as substring.

514131 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 514131.

It is not an unprimeable number, because it can be changed into a prime (514531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (60786).

2⁵¹⁴¹³¹ is an apocalyptic number.

514131 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

514131 is a deficient number, since it is larger than the sum of its proper divisors (215301).

514131 is a wasteful number, since it uses less digits than its factorization.

514131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 613 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 514131 is about 717.0292881047. The cubic root of 514131 is about 80.1108359548.

Adding to 514131 its reverse (131415), we get a palindrome (645546).

It can be divided in two parts, 51 and 4131, that multiplied together give a square (210681 = 459²).

The spelling of 514131 in words is "five hundred fourteen thousand, one hundred thirty-one".