241959611612601 has 63 divisors (see below), whose sum is σ = 385379723199261. Its totient is φ = 151813315666944.

The previous prime is 241959611612573. The next prime is 241959611612687. The reversal of 241959611612601 is 106216116959142.

The square root of 241959611612601 is 15555051.

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

241959611612601 is a `hidden beast` number, since 2 + 4 + 1 + 9 + 5 + 9 + 6 + 1 + 16 + 12 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 139710627005625 + 102248984606976 = 11819925^2 + 10111824^2 .

It is not a de Polignac number, because 241959611612601 - 2⁷ = 241959611612473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241959611616601) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7139751465 + ... + 7139785353.

Almost surely, 2^{241959611612601} is an apocalyptic number.

241959611612601 is the 15555051-st square number.

241959611612601 is the 7777526-th centered octagonal number.

It is an amenable number.

241959611612601 is a deficient number, since it is larger than the sum of its proper divisors (143420111586660).

241959611612601 is an frugal number, since it uses more digits than its factorization.

241959611612601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67830 (or 33909 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 241959611612601 in words is "two hundred forty-one trillion, nine hundred fifty-nine billion, six hundred eleven million, six hundred twelve thousand, six hundred one".