61950700125757 has 2 divisors, whose sum is σ = 61950700125758. Its totient is φ = 61950700125756.

The previous prime is 61950700125719. The next prime is 61950700125767. The reversal of 61950700125757 is 75752100705916.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61216055716761 + 734644408996 = 7824069^2 + 857114^2 .

It is a cyclic number.

It is not a de Polignac number, because 61950700125757 - 2³⁹ = 61400944311869 is a prime.

It is a super-2 number, since 2×61950700125757² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61950700125698 and 61950700125707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61950700125767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30975350062878 + 30975350062879.

It is an arithmetic number, because the mean of its divisors is an integer number (30975350062879).

Almost surely, 2^{61950700125757} is an apocalyptic number.

It is an amenable number.

61950700125757 is a deficient number, since it is larger than the sum of its proper divisors (1).

61950700125757 is an equidigital number, since it uses as much as digits as its factorization.

61950700125757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4630500, while the sum is 55.

The spelling of 61950700125757 in words is "sixty-one trillion, nine hundred fifty billion, seven hundred million, one hundred twenty-five thousand, seven hundred fifty-seven".