241005213552141 has 48 divisors (see below), whose sum is σ = 368694340737840. Its totient is φ = 151178705233920.

The previous prime is 241005213552101. The next prime is 241005213552223. The reversal of 241005213552141 is 141255312500142.

241005213552141 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 0 + 52 + 13 + 552 + 1 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12776664206916 + 228228549345225 = 3574446^2 + 15107235^2 .

It is not a de Polignac number, because 241005213552141 - 2³⁷ = 240867774598669 is a prime.

It is a super-3 number, since 3×241005213552141³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241005213552096 and 241005213552105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241005213552101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16261055511 + ... + 16261070331.

It is an arithmetic number, because the mean of its divisors is an integer number (7681132098705).

Almost surely, 2^{241005213552141} is an apocalyptic number.

It is an amenable number.

241005213552141 is a deficient number, since it is larger than the sum of its proper divisors (127689127185699).

241005213552141 is a wasteful number, since it uses less digits than its factorization.

241005213552141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35966 (or 35963 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 241005213552141 in words is "two hundred forty-one trillion, five billion, two hundred thirteen million, five hundred fifty-two thousand, one hundred forty-one".