2511610561 has 2 divisors, whose sum is σ = 2511610562. Its totient is φ = 2511610560.

The previous prime is 2511610559. The next prime is 2511610571. The reversal of 2511610561 is 1650161152.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1822863025 + 688747536 = 42695^2 + 26244^2 .

It is a cyclic number.

It is not a de Polignac number, because 2511610561 - 2¹ = 2511610559 is a prime.

It is a super-2 number, since 2×2511610561² = 12616375220253469442, which contains 22 as substring.

Together with 2511610559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2511610501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1255805280 + 1255805281.

It is an arithmetic number, because the mean of its divisors is an integer number (1255805281).

Almost surely, 2^2511610561 is an apocalyptic number.

It is an amenable number.

2511610561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2511610561 is an equidigital number, since it uses as much as digits as its factorization.

2511610561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 2511610561 is about 50115.9711170002. The cubic root of 2511610561 is about 1359.3066248189.

The spelling of 2511610561 in words is "two billion, five hundred eleven million, six hundred ten thousand, five hundred sixty-one".