631416413 has 2 divisors, whose sum is σ = 631416414. Its totient is φ = 631416412.

The previous prime is 631416367. The next prime is 631416439. The reversal of 631416413 is 314614136.

631416413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401681764 + 229734649 = 20042^2 + 15157^2 .

It is a cyclic number.

It is not a de Polignac number, because 631416413 - 2⁶ = 631416349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (631415413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 315708206 + 315708207.

It is an arithmetic number, because the mean of its divisors is an integer number (315708207).

Almost surely, 2^631416413 is an apocalyptic number.

It is an amenable number.

631416413 is a deficient number, since it is larger than the sum of its proper divisors (1).

631416413 is an equidigital number, since it uses as much as digits as its factorization.

631416413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 29.

The square root of 631416413 is about 25128.0005770455. Note that the first 3 decimals coincide. The cubic root of 631416413 is about 857.9038607385.

Subtracting from 631416413 its sum of digits (29), we obtain a square (631416384 = 25128²).

The spelling of 631416413 in words is "six hundred thirty-one million, four hundred sixteen thousand, four hundred thirteen".