3516608601 has 45 divisors (see below), whose sum is σ = 5783840293. Its totient is φ = 2127719880.

The previous prime is 3516608567. The next prime is 3516608603. The reversal of 3516608601 is 1068066153.

It is a happy number.

The square root of 3516608601 is 59301.

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

3516608601 is a `hidden beast` number, since 3 + 516 + 60 + 86 + 0 + 1 = 666.

It is not a de Polignac number, because 3516608601 - 2¹⁵ = 3516575833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3516608603) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5870500 + ... + 5871098.

Almost surely, 2^3516608601 is an apocalyptic number.

3516608601 is the 59301-st square number.

3516608601 is the 29651-st centered octagonal number.

It is an amenable number.

3516608601 is a deficient number, since it is larger than the sum of its proper divisors (2267231692).

3516608601 is an frugal number, since it uses more digits than its factorization.

3516608601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 3516608601 is about 1520.6922921290.

Multiplying 3516608601 by its sum of digits (36), we get a square (126597909636 = 355806²).

The spelling of 3516608601 in words is "three billion, five hundred sixteen million, six hundred eight thousand, six hundred one".