125632513 has 2 divisors, whose sum is σ = 125632514. Its totient is φ = 125632512.

The previous prime is 125632483. The next prime is 125632517. The reversal of 125632513 is 315236521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87291649 + 38340864 = 9343^2 + 6192^2 .

It is a cyclic number.

It is not a de Polignac number, because 125632513 - 2²¹ = 123535361 is a prime.

It is not a weakly prime, because it can be changed into another prime (125632517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62816256 + 62816257.

It is an arithmetic number, because the mean of its divisors is an integer number (62816257).

It is a Proth number, since it is equal to 1917 ⋅ 2¹⁶ + 1 and 1917 < 2¹⁶.

Almost surely, 2^125632513 is an apocalyptic number.

It is an amenable number.

125632513 is a deficient number, since it is larger than the sum of its proper divisors (1).

125632513 is an equidigital number, since it uses as much as digits as its factorization.

125632513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5400, while the sum is 28.

The square root of 125632513 is about 11208.5910354513. The cubic root of 125632513 is about 500.8419321714.

The spelling of 125632513 in words is "one hundred twenty-five million, six hundred thirty-two thousand, five hundred thirteen".