601417311121 has 9 divisors (see below), whose sum is σ = 661071379899. Its totient is φ = 546735255000.

The previous prime is 601417311107. The next prime is 601417311127. The reversal of 601417311121 is 121113714106.

The square root of 601417311121 is 775511.

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

It can be written as a sum of positive squares in only one way, i.e., 429076091521 + 172341219600 = 655039^2 + 415140^2 .

It is not a de Polignac number, because 601417311121 - 2¹⁵ = 601417278353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 601417311121.

It is not an unprimeable number, because it can be changed into a prime (601417311127) 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 8 ways as a sum of consecutive naturals, for example, 8495371 + ... + 8565871.

Almost surely, 2^601417311121 is an apocalyptic number.

601417311121 is the 775511-st square number.

601417311121 is the 387756-th centered octagonal number.

It is an amenable number.

601417311121 is a deficient number, since it is larger than the sum of its proper divisors (59654068778).

601417311121 is an frugal number, since it uses more digits than its factorization.

601417311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141024 (or 70512 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 601417311121 in words is "six hundred one billion, four hundred seventeen million, three hundred eleven thousand, one hundred twenty-one".