514251816848641 has 3 divisors (see below), whose sum is σ = 514251839525763. Its totient is φ = 514251794171520.

The previous prime is 514251816848611. The next prime is 514251816848669. The reversal of 514251816848641 is 146848618152415.

The square root of 514251816848641 is 22677121.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 513345132008641 + 906684840000 = 22657121^2 + 952200^2 .

It is not a de Polignac number, because 514251816848641 - 2¹³ = 514251816840449 is a prime.

It is a super-2 number, since 2×514251816848641² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (514251816848611) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11338561 + ... + 34015681.

It is an arithmetic number, because the mean of its divisors is an integer number (171417279841921).

Almost surely, 2^{514251816848641} is an apocalyptic number.

514251816848641 is the 22677121-st square number.

514251816848641 is the 11338561-st centered octagonal number.

It is an amenable number.

514251816848641 is a deficient number, since it is larger than the sum of its proper divisors (22677122).

514251816848641 is an frugal number, since it uses more digits than its factorization.

514251816848641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45354242 (or 22677121 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 64.

The spelling of 514251816848641 in words is "five hundred fourteen trillion, two hundred fifty-one billion, eight hundred sixteen million, eight hundred forty-eight thousand, six hundred forty-one".