434134313043125 has 80 divisors (see below), whose sum is σ = 564577813206000. Its totient is φ = 333319418880000.

The previous prime is 434134313043121. The next prime is 434134313043161. The reversal of 434134313043125 is 521340313431434.

It can be written as a sum of positive squares in 40 ways, for example, as 426537239117284 + 7597073925841 = 20652778^2 + 2756279^2 .

It is not a de Polignac number, because 434134313043125 - 2² = 434134313043121 is a prime.

It is a super-2 number, since 2×434134313043125² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434134313043121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2082983921 + ... + 2083192329.

It is an arithmetic number, because the mean of its divisors is an integer number (7057222665075).

Almost surely, 2^{434134313043125} is an apocalyptic number.

It is an amenable number.

434134313043125 is a deficient number, since it is larger than the sum of its proper divisors (130443500162875).

434134313043125 is a wasteful number, since it uses less digits than its factorization.

434134313043125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209148 (or 209133 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

Adding to 434134313043125 its reverse (521340313431434), we get a palindrome (955474626474559).

The spelling of 434134313043125 in words is "four hundred thirty-four trillion, one hundred thirty-four billion, three hundred thirteen million, forty-three thousand, one hundred twenty-five".