1006725413 has 2 divisors, whose sum is σ = 1006725414. Its totient is φ = 1006725412.

The previous prime is 1006725409. The next prime is 1006725463. The reversal of 1006725413 is 3145276001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006031524 + 693889 = 31718^2 + 833^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006725413 - 2² = 1006725409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006725463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503362706 + 503362707.

It is an arithmetic number, because the mean of its divisors is an integer number (503362707).

Almost surely, 2^1006725413 is an apocalyptic number.

It is an amenable number.

1006725413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006725413 is an equidigital number, since it uses as much as digits as its factorization.

1006725413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1006725413 is about 31728.9365248821. The cubic root of 1006725413 is about 1002.2367973406.

The spelling of 1006725413 in words is "one billion, six million, seven hundred twenty-five thousand, four hundred thirteen".