4961165761 has 2 divisors, whose sum is σ = 4961165762. Its totient is φ = 4961165760.

The previous prime is 4961165747. The next prime is 4961165771. The reversal of 4961165761 is 1675611694.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4960525761 + 640000 = 70431^2 + 800^2 .

It is a cyclic number.

It is not a de Polignac number, because 4961165761 - 2¹⁵ = 4961132993 is a prime.

It is a super-2 number, since 2×4961165761² = 49226331416237418242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4961165731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2480582880 + 2480582881.

It is an arithmetic number, because the mean of its divisors is an integer number (2480582881).

Almost surely, 2^4961165761 is an apocalyptic number.

It is an amenable number.

4961165761 is a deficient number, since it is larger than the sum of its proper divisors (1).

4961165761 is an equidigital number, since it uses as much as digits as its factorization.

4961165761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 272160, while the sum is 46.

The square root of 4961165761 is about 70435.5433073388. The cubic root of 4961165761 is about 1705.5373946066.

The spelling of 4961165761 in words is "four billion, nine hundred sixty-one million, one hundred sixty-five thousand, seven hundred sixty-one".