34273575617551 has 16 divisors (see below), whose sum is σ = 35145554784480. Its totient is φ = 33410071244160.

The previous prime is 34273575617503. The next prime is 34273575617597. The reversal of 34273575617551 is 15571657537243.

It is a de Polignac number, because none of the positive numbers 2^k-34273575617551 is a prime.

It is a super-2 number, since 2×34273575617551² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34273575617551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34273575017551) 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 15 ways as a sum of consecutive naturals, for example, 26857065 + ... + 28104253.

It is an arithmetic number, because the mean of its divisors is an integer number (2196597174030).

Almost surely, 2^{34273575617551} is an apocalyptic number.

34273575617551 is a deficient number, since it is larger than the sum of its proper divisors (871979166929).

34273575617551 is a wasteful number, since it uses less digits than its factorization.

34273575617551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250586.

The product of its digits is 92610000, while the sum is 61.

The spelling of 34273575617551 in words is "thirty-four trillion, two hundred seventy-three billion, five hundred seventy-five million, six hundred seventeen thousand, five hundred fifty-one".