2616505361 has 2 divisors, whose sum is σ = 2616505362. Its totient is φ = 2616505360.

The previous prime is 2616505349. The next prime is 2616505379. The reversal of 2616505361 is 1635056162.

2616505361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2055715600 + 560789761 = 45340^2 + 23681^2 .

It is a cyclic number.

It is not a de Polignac number, because 2616505361 - 2¹⁴ = 2616488977 is a prime.

It is a super-2 number, since 2×2616505361² = 13692200608283480642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2616505301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1308252680 + 1308252681.

It is an arithmetic number, because the mean of its divisors is an integer number (1308252681).

Almost surely, 2^2616505361 is an apocalyptic number.

It is an amenable number.

2616505361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2616505361 is an equidigital number, since it uses as much as digits as its factorization.

2616505361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 2616505361 is about 51151.7874663242. The cubic root of 2616505361 is about 1377.9724760909.

The spelling of 2616505361 in words is "two billion, six hundred sixteen million, five hundred five thousand, three hundred sixty-one".