34000264210253 has 6 divisors (see below), whose sum is σ = 37372191239502. Its totient is φ = 30909331100120.

The previous prime is 34000264210217. The next prime is 34000264210261. The reversal of 34000264210253 is 35201246200043.

It can be written as a sum of positive squares in only one way, i.e., 30179498126569 + 3820766083684 = 5493587^2 + 1954678^2 .

It is not a de Polignac number, because 34000264210253 - 2²⁴ = 34000247433037 is a prime.

It is a super-2 number, since 2×34000264210253² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000264210453) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140496959426 + ... + 140496959667.

It is an arithmetic number, because the mean of its divisors is an integer number (6228698539917).

Almost surely, 2^{34000264210253} is an apocalyptic number.

It is an amenable number.

34000264210253 is a deficient number, since it is larger than the sum of its proper divisors (3371927029249).

34000264210253 is a wasteful number, since it uses less digits than its factorization.

34000264210253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280993919115 (or 280993919104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 34000264210253 in words is "thirty-four trillion, two hundred sixty-four million, two hundred ten thousand, two hundred fifty-three".