20125704177461 has 2 divisors, whose sum is σ = 20125704177462. Its totient is φ = 20125704177460.

The previous prime is 20125704177457. The next prime is 20125704177463. The reversal of 20125704177461 is 16477140752102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15296781432100 + 4828922745361 = 3911110^2 + 2197481^2 .

It is a cyclic number.

It is not a de Polignac number, because 20125704177461 - 2² = 20125704177457 is a prime.

It is a super-2 number, since 2×20125704177461² (a number of 27 digits) contains 22 as substring.

Together with 20125704177463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20125704177463) 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, 10062852088730 + 10062852088731.

It is an arithmetic number, because the mean of its divisors is an integer number (10062852088731).

Almost surely, 2^{20125704177461} is an apocalyptic number.

It is an amenable number.

20125704177461 is a deficient number, since it is larger than the sum of its proper divisors (1).

20125704177461 is an equidigital number, since it uses as much as digits as its factorization.

20125704177461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 658560, while the sum is 47.

The spelling of 20125704177461 in words is "twenty trillion, one hundred twenty-five billion, seven hundred four million, one hundred seventy-seven thousand, four hundred sixty-one".