1007741481601 has 2 divisors, whose sum is σ = 1007741481602. Its totient is φ = 1007741481600.

The previous prime is 1007741481589. The next prime is 1007741481727. The reversal of 1007741481601 is 1061841477001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 547080643201 + 460660838400 = 739649^2 + 678720^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007741481601 - 2²⁹ = 1007204610689 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007741481301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503870740800 + 503870740801.

It is an arithmetic number, because the mean of its divisors is an integer number (503870740801).

Almost surely, 2^{1007741481601} is an apocalyptic number.

It is an amenable number.

1007741481601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007741481601 is an equidigital number, since it uses as much as digits as its factorization.

1007741481601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37632, while the sum is 40.

The spelling of 1007741481601 in words is "one trillion, seven billion, seven hundred forty-one million, four hundred eighty-one thousand, six hundred one".