242004705513301 has 8 divisors (see below), whose sum is σ = 247748747764824. Its totient is φ = 236326309459200.

The previous prime is 242004705513289. The next prime is 242004705513313. The reversal of 242004705513301 is 103315507400242.

It is an interprime number because it is at equal distance from previous prime (242004705513289) and next prime (242004705513313).

It can be written as a sum of positive squares in 4 ways, for example, as 91730230208100 + 150274475305201 = 9577590^2 + 12258649^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242004705513301 - 2⁵ = 242004705513269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242004705513371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16411541896 + ... + 16411556641.

It is an arithmetic number, because the mean of its divisors is an integer number (30968593470603).

Almost surely, 2^{242004705513301} is an apocalyptic number.

It is an amenable number.

242004705513301 is a deficient number, since it is larger than the sum of its proper divisors (5744042251523).

242004705513301 is a wasteful number, since it uses less digits than its factorization.

242004705513301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32823098711.

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 242004705513301 in words is "two hundred forty-two trillion, four billion, seven hundred five million, five hundred thirteen thousand, three hundred one".