2509967213 has 18 divisors (see below), whose sum is σ = 2742965406. Its totient is φ = 2295638592.

The previous prime is 2509967189. The next prime is 2509967237. The reversal of 2509967213 is 3127699052.

It is an interprime number because it is at equal distance from previous prime (2509967189) and next prime (2509967237).

It can be written as a sum of positive squares in 9 ways, for example, as 157609 + 2509809604 = 397^2 + 50098^2 .

It is not a de Polignac number, because 2509967213 - 2¹⁸ = 2509705069 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 (2509967263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8566295 + ... + 8566587.

It is an arithmetic number, because the mean of its divisors is an integer number (152386967).

Almost surely, 2^2509967213 is an apocalyptic number.

It is an amenable number.

2509967213 is a deficient number, since it is larger than the sum of its proper divisors (232998193).

2509967213 is an equidigital number, since it uses as much as digits as its factorization.

2509967213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 2509967213 is about 50099.5729822121. The cubic root of 2509967213 is about 1359.0100951432.

The spelling of 2509967213 in words is "two billion, five hundred nine million, nine hundred sixty-seven thousand, two hundred thirteen".