1005550005461 has 2 divisors, whose sum is σ = 1005550005462. Its totient is φ = 1005550005460.

The previous prime is 1005550005437. The next prime is 1005550005563. The reversal of 1005550005461 is 1645000555001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 848298102961 + 157251902500 = 921031^2 + 396550^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005550005461 - 2²² = 1005545811157 is a prime.

It is a super-2 number, since 2×1005550005461² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005550005961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502775002730 + 502775002731.

It is an arithmetic number, because the mean of its divisors is an integer number (502775002731).

Almost surely, 2^{1005550005461} is an apocalyptic number.

It is an amenable number.

1005550005461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005550005461 is an equidigital number, since it uses as much as digits as its factorization.

1005550005461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 1005550005461 in words is "one trillion, five billion, five hundred fifty million, five thousand, four hundred sixty-one".