125734561 has 2 divisors, whose sum is σ = 125734562. Its totient is φ = 125734560.

The previous prime is 125734463. The next prime is 125734589. The reversal of 125734561 is 165437521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98109025 + 27625536 = 9905^2 + 5256^2 .

It is an emirp because it is prime and its reverse (165437521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125734561 - 2¹³ = 125726369 is a prime.

It is not a weakly prime, because it can be changed into another prime (125734591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62867280 + 62867281.

It is an arithmetic number, because the mean of its divisors is an integer number (62867281).

Almost surely, 2^125734561 is an apocalyptic number.

It is an amenable number.

125734561 is a deficient number, since it is larger than the sum of its proper divisors (1).

125734561 is an equidigital number, since it uses as much as digits as its factorization.

125734561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25200, while the sum is 34.

The square root of 125734561 is about 11213.1423338866. The cubic root of 125734561 is about 500.9775023994.

The spelling of 125734561 in words is "one hundred twenty-five million, seven hundred thirty-four thousand, five hundred sixty-one".