407120177561 has 2 divisors, whose sum is σ = 407120177562. Its totient is φ = 407120177560.

The previous prime is 407120177537. The next prime is 407120177567. The reversal of 407120177561 is 165771021704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313196929600 + 93923247961 = 559640^2 + 306469^2 .

It is a cyclic number.

It is not a de Polignac number, because 407120177561 - 2³⁰ = 406046435737 is a prime.

It is not a weakly prime, because it can be changed into another prime (407120177567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203560088780 + 203560088781.

It is an arithmetic number, because the mean of its divisors is an integer number (203560088781).

Almost surely, 2^407120177561 is an apocalyptic number.

It is an amenable number.

407120177561 is a deficient number, since it is larger than the sum of its proper divisors (1).

407120177561 is an equidigital number, since it uses as much as digits as its factorization.

407120177561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 407120177561 in words is "four hundred seven billion, one hundred twenty million, one hundred seventy-seven thousand, five hundred sixty-one".