1005956461 has 2 divisors, whose sum is σ = 1005956462. Its totient is φ = 1005956460.

The previous prime is 1005956447. The next prime is 1005956477. The reversal of 1005956461 is 1646595001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 759278025 + 246678436 = 27555^2 + 15706^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005956461 - 2²⁵ = 972402029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005956461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005956411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502978230 + 502978231.

It is an arithmetic number, because the mean of its divisors is an integer number (502978231).

Almost surely, 2^1005956461 is an apocalyptic number.

It is an amenable number.

1005956461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005956461 is an equidigital number, since it uses as much as digits as its factorization.

1005956461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 1005956461 is about 31716.8166908345. The cubic root of 1005956461 is about 1001.9815578350.

The spelling of 1005956461 in words is "one billion, five million, nine hundred fifty-six thousand, four hundred sixty-one".