1000520161 has 9 divisors (see below), whose sum is σ = 1023781971. Its totient is φ = 977777472.

The previous prime is 1000520137. The next prime is 1000520201. The reversal of 1000520161 is 1610250001.

It is a happy number.

The square root of 1000520161 is 31631.

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

It can be written as a sum of positive squares in only one way, i.e., 327429025 + 673091136 = 18095^2 + 25944^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1000520161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000521161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1486321 + ... + 1486993.

Almost surely, 2^1000520161 is an apocalyptic number.

1000520161 is the 31631-st square number.

1000520161 is the 15816-th centered octagonal number.

It is an amenable number.

1000520161 is a deficient number, since it is larger than the sum of its proper divisors (23261810).

1000520161 is an frugal number, since it uses more digits than its factorization.

1000520161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The cubic root of 1000520161 is about 1000.1733569456.

Multiplying 1000520161 by its sum of digits (16), we get a square (16008322576 = 126524²).

Adding to 1000520161 its reverse (1610250001), we get a palindrome (2610770162).

The spelling of 1000520161 in words is "one billion, five hundred twenty thousand, one hundred sixty-one".