126525105737 has 2 divisors, whose sum is σ = 126525105738. Its totient is φ = 126525105736.

The previous prime is 126525105677. The next prime is 126525105797. The reversal of 126525105737 is 737501525621.

It is a balanced prime because it is at equal distance from previous prime (126525105677) and next prime (126525105797).

It can be written as a sum of positive squares in only one way, i.e., 81464005561 + 45061100176 = 285419^2 + 212276^2 .

It is a cyclic number.

It is not a de Polignac number, because 126525105737 - 2³⁰ = 125451363913 is a prime.

It is not a weakly prime, because it can be changed into another prime (126525105797) 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, 63262552868 + 63262552869.

It is an arithmetic number, because the mean of its divisors is an integer number (63262552869).

Almost surely, 2^126525105737 is an apocalyptic number.

It is an amenable number.

126525105737 is a deficient number, since it is larger than the sum of its proper divisors (1).

126525105737 is an equidigital number, since it uses as much as digits as its factorization.

126525105737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441000, while the sum is 44.

The spelling of 126525105737 in words is "one hundred twenty-six billion, five hundred twenty-five million, one hundred five thousand, seven hundred thirty-seven".