1007925642007 has 2 divisors, whose sum is σ = 1007925642008. Its totient is φ = 1007925642006.

The previous prime is 1007925641971. The next prime is 1007925642071. The reversal of 1007925642007 is 7002465297001.

1007925642007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1007925642007 - 2³⁹ = 458169828119 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007925642077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503962821003 + 503962821004.

It is an arithmetic number, because the mean of its divisors is an integer number (503962821004).

Almost surely, 2^{1007925642007} is an apocalyptic number.

1007925642007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007925642007 is an equidigital number, since it uses as much as digits as its factorization.

1007925642007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 1007925642007 in words is "one trillion, seven billion, nine hundred twenty-five million, six hundred forty-two thousand, seven".