34253353400511 has 32 divisors (see below), whose sum is σ = 54000931276800. Its totient is φ = 18896477806080.

The previous prime is 34253353400503. The next prime is 34253353400579. The reversal of 34253353400511 is 11500435335243.

It is not a de Polignac number, because 34253353400511 - 2³ = 34253353400503 is a prime.

It is a super-2 number, since 2×34253353400511² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34253353400511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34253353405511) 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 31 ways as a sum of consecutive naturals, for example, 3133671 + ... + 8850231.

It is an arithmetic number, because the mean of its divisors is an integer number (1687529102400).

Almost surely, 2^{34253353400511} is an apocalyptic number.

34253353400511 is a deficient number, since it is larger than the sum of its proper divisors (19747577876289).

34253353400511 is a wasteful number, since it uses less digits than its factorization.

34253353400511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726439.

The product of its (nonzero) digits is 324000, while the sum is 39.

Adding to 34253353400511 its reverse (11500435335243), we get a palindrome (45753788735754).

The spelling of 34253353400511 in words is "thirty-four trillion, two hundred fifty-three billion, three hundred fifty-three million, four hundred thousand, five hundred eleven".