2522504123201 has 2 divisors, whose sum is σ = 2522504123202. Its totient is φ = 2522504123200.

The previous prime is 2522504123159. The next prime is 2522504123231. The reversal of 2522504123201 is 1023214052252.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2497980250000 + 24523873201 = 1580500^2 + 156601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2522504123201 - 2¹⁸ = 2522503861057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2522504123231) 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, 1261252061600 + 1261252061601.

It is an arithmetic number, because the mean of its divisors is an integer number (1261252061601).

Almost surely, 2^{2522504123201} is an apocalyptic number.

It is an amenable number.

2522504123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2522504123201 is an equidigital number, since it uses as much as digits as its factorization.

2522504123201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 2522504123201 its reverse (1023214052252), we get a palindrome (3545718175453).

The spelling of 2522504123201 in words is "two trillion, five hundred twenty-two billion, five hundred four million, one hundred twenty-three thousand, two hundred one".