1000578961 has 2 divisors, whose sum is σ = 1000578962. Its totient is φ = 1000578960.

The previous prime is 1000578941. The next prime is 1000578973. The reversal of 1000578961 is 1698750001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 867891600 + 132687361 = 29460^2 + 11519^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000578961 - 2²⁷ = 866361233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000578961.

It is not a weakly prime, because it can be changed into another prime (1000578941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500289480 + 500289481.

It is an arithmetic number, because the mean of its divisors is an integer number (500289481).

Almost surely, 2^1000578961 is an apocalyptic number.

It is an amenable number.

1000578961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000578961 is an equidigital number, since it uses as much as digits as its factorization.

1000578961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 1000578961 is about 31631.9294542714. The cubic root of 1000578961 is about 1000.1929497680.

The spelling of 1000578961 in words is "one billion, five hundred seventy-eight thousand, nine hundred sixty-one".