1006561230 has 64 divisors (see below), whose sum is σ = 2456612928. Its totient is φ = 263900160.

The previous prime is 1006561223. The next prime is 1006561267. The reversal of 1006561230 is 321656001.

It is a super-2 number, since 2×1006561230² = 2026331019478225800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006561230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009092 + ... + 1010088.

It is an arithmetic number, because the mean of its divisors is an integer number (38384577).

Almost surely, 2^1006561230 is an apocalyptic number.

1006561230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006561230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228306464).

1006561230 is an abundant number, since it is smaller than the sum of its proper divisors (1450051698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006561230 is a wasteful number, since it uses less digits than its factorization.

1006561230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1006561230 is about 31726.3491438898. The cubic root of 1006561230 is about 1002.1823107222.

The spelling of 1006561230 in words is "one billion, six million, five hundred sixty-one thousand, two hundred thirty".