1000610005041 has 6 divisors (see below), whose sum is σ = 1445325562850. Its totient is φ = 667073336688.

The previous prime is 1000610005039. The next prime is 1000610005079. The reversal of 1000610005041 is 1405000160001.

1000610005041 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 610 + 0 + 0 + 50 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 857283402816 + 143326602225 = 925896^2 + 378585^2 .

It is not a de Polignac number, because 1000610005041 - 2¹ = 1000610005039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000610005081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55589444716 + ... + 55589444733.

Almost surely, 2^{1000610005041} is an apocalyptic number.

It is an amenable number.

1000610005041 is a deficient number, since it is larger than the sum of its proper divisors (444715557809).

1000610005041 is a wasteful number, since it uses less digits than its factorization.

1000610005041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111178889455 (or 111178889452 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 1000610005041 its reverse (1405000160001), we get a palindrome (2405610165042).

The spelling of 1000610005041 in words is "one trillion, six hundred ten million, five thousand, forty-one".