2509124461 has 2 divisors, whose sum is σ = 2509124462. Its totient is φ = 2509124460.

The previous prime is 2509124419. The next prime is 2509124489. The reversal of 2509124461 is 1644219052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1713546025 + 795578436 = 41395^2 + 28206^2 .

It is a cyclic number.

It is not a de Polignac number, because 2509124461 - 2²¹ = 2507027309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2509124491) 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 as a sum of consecutive naturals, namely, 1254562230 + 1254562231.

It is an arithmetic number, because the mean of its divisors is an integer number (1254562231).

Almost surely, 2^2509124461 is an apocalyptic number.

It is an amenable number.

2509124461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2509124461 is an equidigital number, since it uses as much as digits as its factorization.

2509124461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2509124461 is about 50091.1615057986. The cubic root of 2509124461 is about 1358.8579767307.

The spelling of 2509124461 in words is "two billion, five hundred nine million, one hundred twenty-four thousand, four hundred sixty-one".