1019584961 has 2 divisors, whose sum is σ = 1019584962. Its totient is φ = 1019584960.

The previous prime is 1019584901. The next prime is 1019584967. The reversal of 1019584961 is 1694859101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 828288400 + 191296561 = 28780^2 + 13831^2 .

It is a cyclic number.

It is not a de Polignac number, because 1019584961 - 2¹⁴ = 1019568577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1019584967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 509792480 + 509792481.

It is an arithmetic number, because the mean of its divisors is an integer number (509792481).

Almost surely, 2^1019584961 is an apocalyptic number.

It is an amenable number.

1019584961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1019584961 is an equidigital number, since it uses as much as digits as its factorization.

1019584961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 44.

The square root of 1019584961 is about 31930.9404966406. The cubic root of 1019584961 is about 1006.4861591151.

The spelling of 1019584961 in words is "one billion, nineteen million, five hundred eighty-four thousand, nine hundred sixty-one".