514214131202541 has 72 divisors (see below), whose sum is σ = 992175689325600. Its totient is φ = 253065054271680.

The previous prime is 514214131202521. The next prime is 514214131202591. The reversal of 514214131202541 is 145202131412415.

514214131202541 is a `hidden beast` number, since 5 + 1 + 4 + 21 + 41 + 31 + 20 + 2 + 541 = 666.

It is not a de Polignac number, because 514214131202541 - 2⁷ = 514214131202413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 514214131202496 and 514214131202505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514214131202501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2789425626 + ... + 2789609963.

It is an arithmetic number, because the mean of its divisors is an integer number (13780217907300).

Almost surely, 2^{514214131202541} is an apocalyptic number.

It is an amenable number.

514214131202541 is a deficient number, since it is larger than the sum of its proper divisors (477961558123059).

514214131202541 is a wasteful number, since it uses less digits than its factorization.

514214131202541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579035639 (or 5579035629 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 514214131202541 its reverse (145202131412415), we get a palindrome (659416262614956).

The spelling of 514214131202541 in words is "five hundred fourteen trillion, two hundred fourteen billion, one hundred thirty-one million, two hundred two thousand, five hundred forty-one".