61665505001 has 2 divisors, whose sum is σ = 61665505002. Its totient is φ = 61665505000.

The previous prime is 61665504941. The next prime is 61665505003. The reversal of 61665505001 is 10050556616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61585867225 + 79637776 = 248165^2 + 8924^2 .

It is a cyclic number.

It is not a de Polignac number, because 61665505001 - 2¹⁴ = 61665488617 is a prime.

It is a Sophie Germain prime.

Together with 61665505003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (61665505003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30832752500 + 30832752501.

It is an arithmetic number, because the mean of its divisors is an integer number (30832752501).

Almost surely, 2^61665505001 is an apocalyptic number.

It is an amenable number.

61665505001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61665505001 is an equidigital number, since it uses as much as digits as its factorization.

61665505001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 61665505001 in words is "sixty-one billion, six hundred sixty-five million, five hundred five thousand, one".