1020005062209 has 405 divisors, whose sum is σ = 2017478941401. Its totient is φ = 511924976640.

The previous prime is 1020005062201. The next prime is 1020005062247. The reversal of 1020005062209 is 9022605000201.

The square root of 1020005062209 is 1009953.

It is a perfect power (a square), and thus also a powerful number.

1020005062209 is a `hidden beast` number, since 10 + 20 + 0 + 0 + 5 + 0 + 622 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71858844225 + 948146217984 = 268065^2 + 973728^2 .

It is not a de Polignac number, because 1020005062209 - 2³ = 1020005062201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1020005062201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 24878172229 + ... + 24878172269.

Almost surely, 2^{1020005062209} is an apocalyptic number.

1020005062209 is the 1009953-rd square number.

1020005062209 is the 504977-th centered octagonal number.

It is an amenable number.

1020005062209 is a deficient number, since it is larger than the sum of its proper divisors (997473879192).

1020005062209 is an equidigital number, since it uses as much as digits as its factorization.

1020005062209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1020005062209 in words is "one trillion, twenty billion, five million, sixty-two thousand, two hundred nine".