1006486577 has 2 divisors, whose sum is σ = 1006486578. Its totient is φ = 1006486576.

The previous prime is 1006486571. The next prime is 1006486583. The reversal of 1006486577 is 7756846001.

It is a balanced prime because it is at equal distance from previous prime (1006486571) and next prime (1006486583).

It can be written as a sum of positive squares in only one way, i.e., 976500001 + 29986576 = 31249^2 + 5476^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006486577 - 2¹⁰ = 1006485553 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006486571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503243288 + 503243289.

It is an arithmetic number, because the mean of its divisors is an integer number (503243289).

Almost surely, 2^1006486577 is an apocalyptic number.

It is an amenable number.

1006486577 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006486577 is an equidigital number, since it uses as much as digits as its factorization.

1006486577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 1006486577 is about 31725.1726078835. The cubic root of 1006486577 is about 1002.1575340325.

The spelling of 1006486577 in words is "one billion, six million, four hundred eighty-six thousand, five hundred seventy-seven".