1504343200513 has 2 divisors, whose sum is σ = 1504343200514. Its totient is φ = 1504343200512.

The previous prime is 1504343200487. The next prime is 1504343200531. The reversal of 1504343200513 is 3150023434051.

Together with next prime (1504343200531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1493887729009 + 10455471504 = 1222247^2 + 102252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1504343200513 is a prime.

It is a super-2 number, since 2×1504343200513² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1504343200583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 752171600256 + 752171600257.

It is an arithmetic number, because the mean of its divisors is an integer number (752171600257).

Almost surely, 2^{1504343200513} is an apocalyptic number.

It is an amenable number.

1504343200513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1504343200513 is an equidigital number, since it uses as much as digits as its factorization.

1504343200513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1504343200513 its reverse (3150023434051), we get a palindrome (4654366634564).

The spelling of 1504343200513 in words is "one trillion, five hundred four billion, three hundred forty-three million, two hundred thousand, five hundred thirteen".