2552001013 has 2 divisors, whose sum is σ = 2552001014. Its totient is φ = 2552001012.

The previous prime is 2552000987. The next prime is 2552001047. The reversal of 2552001013 is 3101002552.

2552001013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2001488644 + 550512369 = 44738^2 + 23463^2 .

It is a cyclic number.

It is not a de Polignac number, because 2552001013 - 2²¹ = 2549903861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2552001713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276000506 + 1276000507.

It is an arithmetic number, because the mean of its divisors is an integer number (1276000507).

Almost surely, 2^2552001013 is an apocalyptic number.

It is an amenable number.

2552001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2552001013 is an equidigital number, since it uses as much as digits as its factorization.

2552001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 2552001013 is about 50517.3337875229. Note that the first 3 decimals coincide. The cubic root of 2552001013 is about 1366.5544712642.

Adding to 2552001013 its reverse (3101002552), we get a palindrome (5653003565).

The spelling of 2552001013 in words is "two billion, five hundred fifty-two million, one thousand, thirteen".