4006505761 has 2 divisors, whose sum is σ = 4006505762. Its totient is φ = 4006505760.

The previous prime is 4006505749. The next prime is 4006505827. The reversal of 4006505761 is 1675056004.

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., 3812321536 + 194184225 = 61744^2 + 13935^2 .

It is a cyclic number.

It is not a de Polignac number, because 4006505761 - 2²¹ = 4004408609 is a prime.

It is not a weakly prime, because it can be changed into another prime (4006505561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003252880 + 2003252881.

It is an arithmetic number, because the mean of its divisors is an integer number (2003252881).

Almost surely, 2^4006505761 is an apocalyptic number.

It is an amenable number.

4006505761 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006505761 is an equidigital number, since it uses as much as digits as its factorization.

4006505761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 4006505761 is about 63296.9648640438. The cubic root of 4006505761 is about 1588.2611901368.

The spelling of 4006505761 in words is "four billion, six million, five hundred five thousand, seven hundred sixty-one".