247633007141 has 8 divisors (see below), whose sum is σ = 268155082104. Its totient is φ = 227321415360.

The previous prime is 247633007129. The next prime is 247633007147. The reversal of 247633007141 is 141700336742.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1229975041 + 246403032100 = 35071^2 + 496390^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-247633007141 is a prime.

It is a super-2 number, since 2×247633007141² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 247633007095 and 247633007104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247633007147) 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 7 ways as a sum of consecutive naturals, for example, 52618346 + ... + 52623051.

It is an arithmetic number, because the mean of its divisors is an integer number (33519385263).

Almost surely, 2^247633007141 is an apocalyptic number.

It is an amenable number.

247633007141 is a deficient number, since it is larger than the sum of its proper divisors (20522074963).

247633007141 is a wasteful number, since it uses less digits than its factorization.

247633007141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105241591.

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 247633007141 in words is "two hundred forty-seven billion, six hundred thirty-three million, seven thousand, one hundred forty-one".