1009725038191 has 8 divisors (see below), whose sum is σ = 1062950254560. Its totient is φ = 957276832512.

The previous prime is 1009725038171. The next prime is 1009725038207. The reversal of 1009725038191 is 1918305279001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009725038191 - 2¹¹ = 1009725036143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009725038171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194250006 + ... + 194255203.

It is an arithmetic number, because the mean of its divisors is an integer number (132868781820).

Almost surely, 2^{1009725038191} is an apocalyptic number.

1009725038191 is a deficient number, since it is larger than the sum of its proper divisors (53225216369).

1009725038191 is a wasteful number, since it uses less digits than its factorization.

1009725038191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388505345.

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 1009725038191 in words is "one trillion, nine billion, seven hundred twenty-five million, thirty-eight thousand, one hundred ninety-one".