2501126584291 has 2 divisors, whose sum is σ = 2501126584292. Its totient is φ = 2501126584290.

The previous prime is 2501126584273. The next prime is 2501126584321. The reversal of 2501126584291 is 1924856211052.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2501126584291 - 2¹³ = 2501126576099 is a prime.

It is not a weakly prime, because it can be changed into another prime (2501126582291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250563292145 + 1250563292146.

It is an arithmetic number, because the mean of its divisors is an integer number (1250563292146).

Almost surely, 2^{2501126584291} is an apocalyptic number.

2501126584291 is a deficient number, since it is larger than the sum of its proper divisors (1).

2501126584291 is an equidigital number, since it uses as much as digits as its factorization.

2501126584291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 2501126584291 in words is "two trillion, five hundred one billion, one hundred twenty-six million, five hundred eighty-four thousand, two hundred ninety-one".