412312013 has 2 divisors, whose sum is σ = 412312014. Its totient is φ = 412312012.

The previous prime is 412312003. The next prime is 412312057. The reversal of 412312013 is 310213214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 233875849 + 178436164 = 15293^2 + 13358^2 .

It is a cyclic number.

It is not a de Polignac number, because 412312013 - 2¹⁰ = 412310989 is a prime.

It is a super-2 number, since 2×412312013² = 340002392128224338, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 412311982 and 412312000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412312003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206156006 + 206156007.

It is an arithmetic number, because the mean of its divisors is an integer number (206156007).

Almost surely, 2^412312013 is an apocalyptic number.

It is an amenable number.

412312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

412312013 is an equidigital number, since it uses as much as digits as its factorization.

412312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 412312013 is about 20305.4675641808. The cubic root of 412312013 is about 744.2896780463.

Adding to 412312013 its reverse (310213214), we get a palindrome (722525227).

The spelling of 412312013 in words is "four hundred twelve million, three hundred twelve thousand, thirteen".