34059071601 has 27 divisors (see below), whose sum is σ = 49597128633. Its totient is φ = 22522604040.

The previous prime is 34059071567. The next prime is 34059071633. The reversal of 34059071601 is 10617095043.

The square root of 34059071601 is 184551.

It is a perfect power (a square), and thus also a powerful number.

34059071601 is a `hidden beast` number, since 3 + 4 + 0 + 590 + 7 + 1 + 60 + 1 = 666.

It is not a de Polignac number, because 34059071601 - 2¹⁷ = 34058940529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34059071801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125679096 + ... + 125679366.

Almost surely, 2^34059071601 is an apocalyptic number.

34059071601 is the 184551-st square number.

34059071601 is the 92276-th centered octagonal number.

It is an amenable number.

34059071601 is a deficient number, since it is larger than the sum of its proper divisors (15538057032).

34059071601 is an frugal number, since it uses more digits than its factorization.

34059071601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 34059071601 by its sum of digits (36), we get a square (1226126577636 = 1107306²).

The spelling of 34059071601 in words is "thirty-four billion, fifty-nine million, seventy-one thousand, six hundred one".