2509443261 has 28 divisors (see below), whose sum is σ = 4051877788. Its totient is φ = 1544266944.

The previous prime is 2509443257. The next prime is 2509443269. The reversal of 2509443261 is 1623449052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1318779225 + 1190664036 = 36315^2 + 34506^2 .

It is not a de Polignac number, because 2509443261 - 2² = 2509443257 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509443269) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 122920 + ... + 141873.

It is an arithmetic number, because the mean of its divisors is an integer number (144709921).

Almost surely, 2^2509443261 is an apocalyptic number.

It is an amenable number.

2509443261 is a deficient number, since it is larger than the sum of its proper divisors (1542434527).

2509443261 is an equidigital number, since it uses as much as digits as its factorization.

2509443261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264824 (or 264809 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2509443261 is about 50094.3436028460. The cubic root of 2509443261 is about 1358.9155247698.

The spelling of 2509443261 in words is "two billion, five hundred nine million, four hundred forty-three thousand, two hundred sixty-one".