413103037 has 2 divisors, whose sum is σ = 413103038. Its totient is φ = 413103036.

The previous prime is 413103001. The next prime is 413103049. The reversal of 413103037 is 730301314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227979801 + 185123236 = 15099^2 + 13606^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413103037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413102999 and 413103017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413103137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206551518 + 206551519.

It is an arithmetic number, because the mean of its divisors is an integer number (206551519).

Almost surely, 2^413103037 is an apocalyptic number.

It is an amenable number.

413103037 is a deficient number, since it is larger than the sum of its proper divisors (1).

413103037 is an equidigital number, since it uses as much as digits as its factorization.

413103037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 413103037 is about 20324.9363344636. The cubic root of 413103037 is about 744.7653492796.

The spelling of 413103037 in words is "four hundred thirteen million, one hundred three thousand, thirty-seven".