1006500047741 has 8 divisors (see below), whose sum is σ = 1033716593880. Its totient is φ = 979284230208.

The previous prime is 1006500047731. The next prime is 1006500047753. The reversal of 1006500047741 is 1477400056001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66385583716 + 940114464025 = 257654^2 + 969595^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006500047741 is a prime.

It is a super-2 number, since 2×1006500047741² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006500047711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3750455 + ... + 4009851.

It is an arithmetic number, because the mean of its divisors is an integer number (129214574235).

Almost surely, 2^{1006500047741} is an apocalyptic number.

It is an amenable number.

1006500047741 is a deficient number, since it is larger than the sum of its proper divisors (27216546139).

1006500047741 is a wasteful number, since it uses less digits than its factorization.

1006500047741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364303.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 1006500047741 in words is "one trillion, six billion, five hundred million, forty-seven thousand, seven hundred forty-one".