414563013 has 12 divisors (see below), whose sum is σ = 613418988. Its totient is φ = 269634240.

The previous prime is 414562999. The next prime is 414563027. The reversal of 414563013 is 310365414.

414563013 is a `hidden beast` number, since 4 + 14 + 5 + 630 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (414562999) and next prime (414563027).

It can be written as a sum of positive squares in 2 ways, for example, as 156575169 + 257987844 = 12513^2 + 16062^2 .

It is not a de Polignac number, because 414563013 - 2¹⁸ = 414300869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414562013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561370 + ... + 562107.

It is an arithmetic number, because the mean of its divisors is an integer number (51118249).

Almost surely, 2^414563013 is an apocalyptic number.

It is an amenable number.

414563013 is a deficient number, since it is larger than the sum of its proper divisors (198855975).

414563013 is a wasteful number, since it uses less digits than its factorization.

414563013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123524 (or 1123521 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 414563013 is about 20360.8205384754. The cubic root of 414563013 is about 745.6416932746.

The spelling of 414563013 in words is "four hundred fourteen million, five hundred sixty-three thousand, thirteen".