1077671007401 has 2 divisors, whose sum is σ = 1077671007402. Its totient is φ = 1077671007400.

The previous prime is 1077671007241. The next prime is 1077671007473. The reversal of 1077671007401 is 1047001767701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 890267731600 + 187403275801 = 943540^2 + 432901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1077671007401 is a prime.

It is a super-2 number, since 2×1077671007401² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1077671007701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 538835503700 + 538835503701.

It is an arithmetic number, because the mean of its divisors is an integer number (538835503701).

Almost surely, 2^{1077671007401} is an apocalyptic number.

It is an amenable number.

1077671007401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1077671007401 is an equidigital number, since it uses as much as digits as its factorization.

1077671007401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57624, while the sum is 41.

The spelling of 1077671007401 in words is "one trillion, seventy-seven billion, six hundred seventy-one million, seven thousand, four hundred one".