30414413257 has 2 divisors, whose sum is σ = 30414413258. Its totient is φ = 30414413256.

The previous prime is 30414413219. The next prime is 30414413287. The reversal of 30414413257 is 75231441403.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19842666496 + 10571746761 = 140864^2 + 102819^2 .

It is a cyclic number.

It is not a de Polignac number, because 30414413257 - 2²⁷ = 30280195529 is a prime.

It is a super-3 number, since 3×30414413257³ (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (30414413287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15207206628 + 15207206629.

It is an arithmetic number, because the mean of its divisors is an integer number (15207206629).

Almost surely, 2^30414413257 is an apocalyptic number.

It is an amenable number.

30414413257 is a deficient number, since it is larger than the sum of its proper divisors (1).

30414413257 is an equidigital number, since it uses as much as digits as its factorization.

30414413257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 30414413257 in words is "thirty billion, four hundred fourteen million, four hundred thirteen thousand, two hundred fifty-seven".