2525003761601 has 2 divisors, whose sum is σ = 2525003761602. Its totient is φ = 2525003761600.

The previous prime is 2525003761547. The next prime is 2525003761649. The reversal of 2525003761601 is 1061673005252.

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., 2412899329201 + 112104432400 = 1553351^2 + 334820^2 .

It is a cyclic number.

It is not a de Polignac number, because 2525003761601 - 2⁶ = 2525003761537 is a prime.

It is not a weakly prime, because it can be changed into another prime (2525003761661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1262501880800 + 1262501880801.

It is an arithmetic number, because the mean of its divisors is an integer number (1262501880801).

Almost surely, 2^{2525003761601} is an apocalyptic number.

It is an amenable number.

2525003761601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2525003761601 is an equidigital number, since it uses as much as digits as its factorization.

2525003761601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 38.

Adding to 2525003761601 its reverse (1061673005252), we get a palindrome (3586676766853).

The spelling of 2525003761601 in words is "two trillion, five hundred twenty-five billion, three million, seven hundred sixty-one thousand, six hundred one".