34254102753 has 24 divisors (see below), whose sum is σ = 55121550120. Its totient is φ = 20352568320.

The previous prime is 34254102731. The next prime is 34254102769. The reversal of 34254102753 is 35720145243.

34254102753 is a `hidden beast` number, since 3 + 42 + 541 + 0 + 2 + 75 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135210384 + 34118892369 = 11628^2 + 184713^2 .

It is not a de Polignac number, because 34254102753 - 2¹⁰ = 34254101729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34254102793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5044368 + ... + 5051153.

It is an arithmetic number, because the mean of its divisors is an integer number (2296731255).

Almost surely, 2^34254102753 is an apocalyptic number.

It is an amenable number.

34254102753 is a deficient number, since it is larger than the sum of its proper divisors (20867447367).

34254102753 is a wasteful number, since it uses less digits than its factorization.

34254102753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095569 (or 10095566 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 34254102753 its reverse (35720145243), we get a palindrome (69974247996).

The spelling of 34254102753 in words is "thirty-four billion, two hundred fifty-four million, one hundred two thousand, seven hundred fifty-three".