2501126584321 has 2 divisors, whose sum is σ = 2501126584322. Its totient is φ = 2501126584320.

The previous prime is 2501126584291. The next prime is 2501126584367. The reversal of 2501126584321 is 1234856211052.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1971272160400 + 529854423921 = 1404020^2 + 727911^2 .

It is a cyclic number.

It is not a de Polignac number, because 2501126584321 - 2¹³ = 2501126576129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2501126584721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250563292160 + 1250563292161.

It is an arithmetic number, because the mean of its divisors is an integer number (1250563292161).

Almost surely, 2^{2501126584321} is an apocalyptic number.

It is an amenable number.

2501126584321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2501126584321 is an equidigital number, since it uses as much as digits as its factorization.

2501126584321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 2501126584321 in words is "two trillion, five hundred one billion, one hundred twenty-six million, five hundred eighty-four thousand, three hundred twenty-one".