514201334400513 has 24 divisors (see below), whose sum is σ = 756753047385192. Its totient is φ = 336331208848128.

The previous prime is 514201334400511. The next prime is 514201334400521. The reversal of 514201334400513 is 315004433102415.

514201334400513 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 0 + 133 + 4 + 4 + 0 + 0 + 513 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92517696806544 + 421683637593969 = 9618612^2 + 20534937^2 .

It is not a de Polignac number, because 514201334400513 - 2¹ = 514201334400511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (514201334400511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92986045 + ... + 98360597.

It is an arithmetic number, because the mean of its divisors is an integer number (31531376974383).

Almost surely, 2^{514201334400513} is an apocalyptic number.

514201334400513 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

514201334400513 is a deficient number, since it is larger than the sum of its proper divisors (242551712984679).

514201334400513 is a wasteful number, since it uses less digits than its factorization.

514201334400513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575185 (or 5575182 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 514201334400513 its reverse (315004433102415), we get a palindrome (829205767502928).

The spelling of 514201334400513 in words is "five hundred fourteen trillion, two hundred one billion, three hundred thirty-four million, four hundred thousand, five hundred thirteen".