415205312413 has 2 divisors, whose sum is σ = 415205312414. Its totient is φ = 415205312412.

The previous prime is 415205312377. The next prime is 415205312461. The reversal of 415205312413 is 314213502514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246926504889 + 168278807524 = 496917^2 + 410218^2 .

It is a cyclic number.

It is not a de Polignac number, because 415205312413 - 2¹⁷ = 415205181341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415205352413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207602656206 + 207602656207.

It is an arithmetic number, because the mean of its divisors is an integer number (207602656207).

Almost surely, 2^415205312413 is an apocalyptic number.

It is an amenable number.

415205312413 is a deficient number, since it is larger than the sum of its proper divisors (1).

415205312413 is an equidigital number, since it uses as much as digits as its factorization.

415205312413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 415205312413 its reverse (314213502514), we get a palindrome (729418814927).

The spelling of 415205312413 in words is "four hundred fifteen billion, two hundred five million, three hundred twelve thousand, four hundred thirteen".