2505510144013 has 8 divisors (see below), whose sum is σ = 2513759605560. Its totient is φ = 2497262856960.

The previous prime is 2505510143989. The next prime is 2505510144017. The reversal of 2505510144013 is 3104410155052.

It can be written as a sum of positive squares in 4 ways, for example, as 468604595209 + 2036905548804 = 684547^2 + 1427202^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2505510144013 - 2⁹ = 2505510143501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505510144017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780953 + ... + 2860561.

It is an arithmetic number, because the mean of its divisors is an integer number (314219950695).

Almost surely, 2^{2505510144013} is an apocalyptic number.

It is an amenable number.

2505510144013 is a deficient number, since it is larger than the sum of its proper divisors (8249461547).

2505510144013 is a wasteful number, since it uses less digits than its factorization.

2505510144013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087247.

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 2505510144013 its reverse (3104410155052), we get a palindrome (5609920299065).

The spelling of 2505510144013 in words is "two trillion, five hundred five billion, five hundred ten million, one hundred forty-four thousand, thirteen".