34222122513 has 16 divisors (see below), whose sum is σ = 50709129600. Its totient is φ = 22810388400.

The previous prime is 34222122503. The next prime is 34222122541. The reversal of 34222122513 is 31522122243.

34222122513 is a `hidden beast` number, since 3 + 4 + 2 + 22 + 122 + 513 = 666.

It is not a de Polignac number, because 34222122513 - 2⁹ = 34222122001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34222122503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26043 + ... + 262911.

It is an arithmetic number, because the mean of its divisors is an integer number (3169320600).

Almost surely, 2^34222122513 is an apocalyptic number.

It is an amenable number.

34222122513 is a deficient number, since it is larger than the sum of its proper divisors (16487007087).

34222122513 is a wasteful number, since it uses less digits than its factorization.

34222122513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242229 (or 242223 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 34222122513 its reverse (31522122243), we get a palindrome (65744244756).

The spelling of 34222122513 in words is "thirty-four billion, two hundred twenty-two million, one hundred twenty-two thousand, five hundred thirteen".