34050160053 has 144 divisors (see below), whose sum is σ = 65907757440. Its totient is φ = 17009471232.

The previous prime is 34050160051. The next prime is 34050160061. The reversal of 34050160053 is 35006105043.

34050160053 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 0 + 1 + 600 + 53 = 666.

It is not a de Polignac number, because 34050160053 - 2¹ = 34050160051 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 34050159999 and 34050160026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050160051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11529225 + ... + 11532177.

It is an arithmetic number, because the mean of its divisors is an integer number (457692760).

Almost surely, 2^34050160053 is an apocalyptic number.

It is an amenable number.

34050160053 is a deficient number, since it is larger than the sum of its proper divisors (31857597387).

34050160053 is a wasteful number, since it uses less digits than its factorization.

34050160053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 34050160053 its reverse (35006105043), we get a palindrome (69056265096).

The spelling of 34050160053 in words is "thirty-four billion, fifty million, one hundred sixty thousand, fifty-three".