1007401645637 has 2 divisors, whose sum is σ = 1007401645638. Its totient is φ = 1007401645636.

The previous prime is 1007401645609. The next prime is 1007401645669. The reversal of 1007401645637 is 7365461047001.

1007401645637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1003694²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007401645636 + 1 = 1003694^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007401645637 - 2³⁸ = 732523738693 is a prime.

It is a super-2 number, since 2×1007401645637² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007401645037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503700822818 + 503700822819.

It is an arithmetic number, because the mean of its divisors is an integer number (503700822819).

Almost surely, 2^{1007401645637} is an apocalyptic number.

It is an amenable number.

1007401645637 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007401645637 is an equidigital number, since it uses as much as digits as its factorization.

1007401645637 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 1007401645637 in words is "one trillion, seven billion, four hundred one million, six hundred forty-five thousand, six hundred thirty-seven".