2012509321 has 9 divisors (see below), whose sum is σ = 2035604181. Its totient is φ = 1989675072.

The previous prime is 2012509277. The next prime is 2012509337. The reversal of 2012509321 is 1239052102.

It is a happy number.

The square root of 2012509321 is 44861.

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

It can be written as a sum of positive squares in 4 ways, for example, as 426876921 + 1585632400 = 20661^2 + 39820^2 .

It is not a de Polignac number, because 2012509321 - 2⁷ = 2012509193 is a prime.

It is a super-2 number, since 2×2012509321² = 8100387534223762082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012509381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5069095 + ... + 5069491.

Almost surely, 2^2012509321 is an apocalyptic number.

2012509321 is the 44861-st square number.

2012509321 is the 22431-st centered octagonal number.

It is an amenable number.

2012509321 is a deficient number, since it is larger than the sum of its proper divisors (23094860).

2012509321 is an frugal number, since it uses more digits than its factorization.

2012509321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The cubic root of 2012509321 is about 1262.5423850881.

Multiplying 2012509321 by its sum of digits (25), we get a square (50312733025 = 224305²).

The spelling of 2012509321 in words is "two billion, twelve million, five hundred nine thousand, three hundred twenty-one".