125813 has 2 divisors, whose sum is σ = 125814. Its totient is φ = 125812.

The previous prime is 125803. The next prime is 125821. The reversal of 125813 is 318521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69169 + 56644 = 263^2 + 238^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125813 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62906 + 62907.

It is an arithmetic number, because the mean of its divisors is an integer number (62907).

2¹²⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

125813 is a deficient number, since it is larger than the sum of its proper divisors (1).

125813 is an equidigital number, since it uses as much as digits as its factorization.

125813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 240, while the sum is 20.

The square root of 125813 is about 354.7012827719. The cubic root of 125813 is about 50.1081658343.

The spelling of 125813 in words is "one hundred twenty-five thousand, eight hundred thirteen".