34131410425 has 48 divisors (see below), whose sum is σ = 52463642112. Its totient is φ = 21490329600.

The previous prime is 34131410407. The next prime is 34131410447. The reversal of 34131410425 is 52401413143.

It is not a de Polignac number, because 34131410425 - 2⁵ = 34131410393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34131410393 and 34131410402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17937 + ... + 261886.

It is an arithmetic number, because the mean of its divisors is an integer number (1092992544).

Almost surely, 2^34131410425 is an apocalyptic number.

34131410425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34131410425 is a deficient number, since it is larger than the sum of its proper divisors (18332231687).

34131410425 is a wasteful number, since it uses less digits than its factorization.

34131410425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279898 (or 279893 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 34131410425 its reverse (52401413143), we get a palindrome (86532823568).

The spelling of 34131410425 in words is "thirty-four billion, one hundred thirty-one million, four hundred ten thousand, four hundred twenty-five".