126572513 has 2 divisors, whose sum is σ = 126572514. Its totient is φ = 126572512.

The previous prime is 126572491. The next prime is 126572527. The reversal of 126572513 is 315275621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70442449 + 56130064 = 8393^2 + 7492^2 .

It is an emirp because it is prime and its reverse (315275621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126572513 - 2¹⁶ = 126506977 is a prime.

It is a Chen prime.

It is equal to p_7194542 and since 126572513 and 7194542 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126572513.

It is not a weakly prime, because it can be changed into another prime (126572573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63286256 + 63286257.

It is an arithmetic number, because the mean of its divisors is an integer number (63286257).

Almost surely, 2^126572513 is an apocalyptic number.

It is an amenable number.

126572513 is a deficient number, since it is larger than the sum of its proper divisors (1).

126572513 is an equidigital number, since it uses as much as digits as its factorization.

126572513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12600, while the sum is 32.

The square root of 126572513 is about 11250.4450134206. The cubic root of 126572513 is about 502.0879527698.

The spelling of 126572513 in words is "one hundred twenty-six million, five hundred seventy-two thousand, five hundred thirteen".