30013010417 has 32 divisors (see below), whose sum is σ = 34743088800. Its totient is φ = 25679462400.

The previous prime is 30013010411. The next prime is 30013010429. The reversal of 30013010417 is 71401031003.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 17265697201 + 12747313216 = 131399^2 + 112904^2 .

It is a cyclic number.

It is not a de Polignac number, because 30013010417 - 2²⁶ = 29945901553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30013010411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19374959 + ... + 19376507.

It is an arithmetic number, because the mean of its divisors is an integer number (1085721525).

Almost surely, 2^30013010417 is an apocalyptic number.

It is an amenable number.

30013010417 is a deficient number, since it is larger than the sum of its proper divisors (4730078383).

30013010417 is a wasteful number, since it uses less digits than its factorization.

30013010417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853.

The product of its (nonzero) digits is 252, while the sum is 20.

The spelling of 30013010417 in words is "thirty billion, thirteen million, ten thousand, four hundred seventeen".