1006561610 has 16 divisors (see below), whose sum is σ = 1841513832. Its totient is φ = 396024000.

The previous prime is 1006561607. The next prime is 1006561639. The reversal of 1006561610 is 161656001.

It can be written as a sum of positive squares in 4 ways, for example, as 696907201 + 309654409 = 26399^2 + 17597^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1006561610.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824441 + ... + 825660.

Almost surely, 2^1006561610 is an apocalyptic number.

1006561610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006561610 is a deficient number, since it is larger than the sum of its proper divisors (834952222).

1006561610 is a wasteful number, since it uses less digits than its factorization.

1006561610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650169.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1006561610 is about 31726.3551326023. The cubic root of 1006561610 is about 1002.1824368378.

The spelling of 1006561610 in words is "one billion, six million, five hundred sixty-one thousand, six hundred ten".