5996626337601 has 45 divisors (see below), whose sum is σ = 9003221835993. Its totient is φ = 3977636440320.

The previous prime is 5996626337477. The next prime is 5996626337609. The reversal of 5996626337601 is 1067336266995.

The square root of 5996626337601 is 2448801.

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

5996626337601 is a `hidden beast` number, since 599 + 6 + 6 + 2 + 6 + 3 + 37 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299812097601 + 5696814240000 = 547551^2 + 2386800^2 .

It is not a de Polignac number, because 5996626337601 - 2¹⁵ = 5996626304833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5996626337609) 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, 5311448805 + ... + 5311449933.

Almost surely, 2^{5996626337601} is an apocalyptic number.

5996626337601 is the 2448801-st square number.

5996626337601 is the 1224401-st centered octagonal number.

It is an amenable number.

5996626337601 is a deficient number, since it is larger than the sum of its proper divisors (3006595498392).

5996626337601 is an frugal number, since it uses more digits than its factorization.

5996626337601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 5996626337601 in words is "five trillion, nine hundred ninety-six billion, six hundred twenty-six million, three hundred thirty-seven thousand, six hundred one".