34752555525743 has 16 divisors (see below), whose sum is σ = 38121971177472. Its totient is φ = 31418161092000.

The previous prime is 34752555525691. The next prime is 34752555525791.

34752555525743 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34752555525743 - 2⁶ = 34752555525679 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34752555525643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168875330 + ... + 169080992.

It is an arithmetic number, because the mean of its divisors is an integer number (2382623198592).

Almost surely, 2^{34752555525743} is an apocalyptic number.

34752555525743 is a deficient number, since it is larger than the sum of its proper divisors (3369415651729).

34752555525743 is a wasteful number, since it uses less digits than its factorization.

34752555525743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290726.

The product of its digits is 441000000, while the sum is 62.

The spelling of 34752555525743 in words is "thirty-four trillion, seven hundred fifty-two billion, five hundred fifty-five million, five hundred twenty-five thousand, seven hundred forty-three".