2513500205213 has 2 divisors, whose sum is σ = 2513500205214. Its totient is φ = 2513500205212.

The previous prime is 2513500205141. The next prime is 2513500205269. The reversal of 2513500205213 is 3125020053152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1482944288644 + 1030555916569 = 1217762^2 + 1015163^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2513500205213 is a prime.

It is a super-2 number, since 2×2513500205213² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2513500205813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256750102606 + 1256750102607.

It is an arithmetic number, because the mean of its divisors is an integer number (1256750102607).

Almost surely, 2^{2513500205213} is an apocalyptic number.

It is an amenable number.

2513500205213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513500205213 is an equidigital number, since it uses as much as digits as its factorization.

2513500205213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 2513500205213 its reverse (3125020053152), we get a palindrome (5638520258365).

The spelling of 2513500205213 in words is "two trillion, five hundred thirteen billion, five hundred million, two hundred five thousand, two hundred thirteen".