125205961 has 2 divisors, whose sum is σ = 125205962. Its totient is φ = 125205960.

The previous prime is 125205937. The next prime is 125205973. The reversal of 125205961 is 169502521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105678400 + 19527561 = 10280^2 + 4419^2 .

It is a cyclic number.

It is not a de Polignac number, because 125205961 - 2¹³ = 125197769 is a prime.

It is not a weakly prime, because it can be changed into another prime (125205061) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62602980 + 62602981.

It is an arithmetic number, because the mean of its divisors is an integer number (62602981).

Almost surely, 2^125205961 is an apocalyptic number.

It is an amenable number.

125205961 is a deficient number, since it is larger than the sum of its proper divisors (1).

125205961 is an equidigital number, since it uses as much as digits as its factorization.

125205961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 125205961 is about 11189.5469524016. The cubic root of 125205961 is about 500.2744639781.

It can be divided in two parts, 12520 and 5961, that added together give a palindrome (18481).

The spelling of 125205961 in words is "one hundred twenty-five million, two hundred five thousand, nine hundred sixty-one".