2509261009 has 2 divisors, whose sum is σ = 2509261010. Its totient is φ = 2509261008.

The previous prime is 2509260997. The next prime is 2509261031. The reversal of 2509261009 is 9001629052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2330958400 + 178302609 = 48280^2 + 13353^2 .

It is a cyclic number.

It is not a de Polignac number, because 2509261009 - 2⁵ = 2509260977 is a prime.

It is a super-2 number, since 2×2509261009² = 12592781622575396162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2509261039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254630504 + 1254630505.

It is an arithmetic number, because the mean of its divisors is an integer number (1254630505).

Almost surely, 2^2509261009 is an apocalyptic number.

It is an amenable number.

2509261009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2509261009 is an equidigital number, since it uses as much as digits as its factorization.

2509261009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 2509261009 is about 50092.5244822019. The cubic root of 2509261009 is about 1358.8826262285.

The spelling of 2509261009 in words is "two billion, five hundred nine million, two hundred sixty-one thousand, nine".