2513305601 has 2 divisors, whose sum is σ = 2513305602. Its totient is φ = 2513305600.

The previous prime is 2513305583. The next prime is 2513305607. The reversal of 2513305601 is 1065033152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1572043201 + 941262400 = 39649^2 + 30680^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513305601 - 2³⁰ = 1439563777 is a prime.

It is not a weakly prime, because it can be changed into another prime (2513305607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256652800 + 1256652801.

It is an arithmetic number, because the mean of its divisors is an integer number (1256652801).

It is a Proth number, since it is equal to 19175 ⋅ 2¹⁷ + 1 and 19175 < 2¹⁷.

Almost surely, 2^2513305601 is an apocalyptic number.

It is an amenable number.

2513305601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513305601 is an equidigital number, since it uses as much as digits as its factorization.

2513305601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 2513305601 is about 50132.8794405428. The cubic root of 2513305601 is about 1359.6123464416.

Adding to 2513305601 its reverse (1065033152), we get a palindrome (3578338753).

The spelling of 2513305601 in words is "two billion, five hundred thirteen million, three hundred five thousand, six hundred one".