434660097313 has 32 divisors (see below), whose sum is σ = 500426035200. Its totient is φ = 374180026176.

The previous prime is 434660097299. The next prime is 434660097343. The reversal of 434660097313 is 313790066434.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 434660097313 - 2¹⁷ = 434659966241 is a prime.

It is a super-2 number, since 2×434660097313² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434660097343) 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 in 31 ways as a sum of consecutive naturals, for example, 26784720 + ... + 26800942.

It is an arithmetic number, because the mean of its divisors is an integer number (15638313600).

Almost surely, 2^434660097313 is an apocalyptic number.

It is an amenable number.

434660097313 is a deficient number, since it is larger than the sum of its proper divisors (65765937887).

434660097313 is a wasteful number, since it uses less digits than its factorization.

434660097313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17941.

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 434660097313 in words is "four hundred thirty-four billion, six hundred sixty million, ninety-seven thousand, three hundred thirteen".