416380513 has 2 divisors, whose sum is σ = 416380514. Its totient is φ = 416380512.

The previous prime is 416380511. The next prime is 416380529. The reversal of 416380513 is 315083614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 266734224 + 149646289 = 16332^2 + 12233^2 .

It is a cyclic number.

It is not a de Polignac number, because 416380513 - 2¹ = 416380511 is a prime.

It is a super-2 number, since 2×416380513² = 346745463212286338, which contains 22 as substring.

Together with 416380511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (416380511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208190256 + 208190257.

It is an arithmetic number, because the mean of its divisors is an integer number (208190257).

Almost surely, 2^416380513 is an apocalyptic number.

It is an amenable number.

416380513 is a deficient number, since it is larger than the sum of its proper divisors (1).

416380513 is an equidigital number, since it uses as much as digits as its factorization.

416380513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 416380513 is about 20405.4040146232. The cubic root of 416380513 is about 746.7297692160.

The spelling of 416380513 in words is "four hundred sixteen million, three hundred eighty thousand, five hundred thirteen".