125292521 has 2 divisors, whose sum is σ = 125292522. Its totient is φ = 125292520.

The previous prime is 125292511. The next prime is 125292529.

125292521 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97614400 + 27678121 = 9880^2 + 5261^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 125292521 - 2⁶ = 125292457 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (125292529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62646260 + 62646261.

It is an arithmetic number, because the mean of its divisors is an integer number (62646261).

Almost surely, 2^125292521 is an apocalyptic number.

It is an amenable number.

125292521 is a deficient number, since it is larger than the sum of its proper divisors (1).

125292521 is an equidigital number, since it uses as much as digits as its factorization.

125292521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3600, while the sum is 29.

The square root of 125292521 is about 11193.4141797755. The cubic root of 125292521 is about 500.3897241512.

The spelling of 125292521 in words is "one hundred twenty-five million, two hundred ninety-two thousand, five hundred twenty-one".