34082093253 has 64 divisors (see below), whose sum is σ = 51690340352. Its totient is φ = 19830666240.

The previous prime is 34082093251. The next prime is 34082093261. The reversal of 34082093253 is 35239028043.

It is not a de Polignac number, because 34082093253 - 2¹ = 34082093251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34082093251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10285725 + ... + 10289037.

It is an arithmetic number, because the mean of its divisors is an integer number (807661568).

Almost surely, 2^34082093253 is an apocalyptic number.

It is an amenable number.

34082093253 is a deficient number, since it is larger than the sum of its proper divisors (17608247099).

34082093253 is a wasteful number, since it uses less digits than its factorization.

34082093253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554.

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 34082093253 in words is "thirty-four billion, eighty-two million, ninety-three thousand, two hundred fifty-three".