249241956087601 has 8 divisors (see below), whose sum is σ = 249732603873000. Its totient is φ = 248751312138240.

The previous prime is 249241956087589. The next prime is 249241956087629. The reversal of 249241956087601 is 106780659142942.

249241956087601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 133616237444001 + 115625718643600 = 11559249^2 + 10752940^2 .

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 249241956087601 - 2¹³ = 249241956079409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249241956087671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153603675 + ... + 155217823.

It is an arithmetic number, because the mean of its divisors is an integer number (31216575484125).

Almost surely, 2^{249241956087601} is an apocalyptic number.

It is an amenable number.

249241956087601 is a deficient number, since it is larger than the sum of its proper divisors (490647785399).

249241956087601 is a wasteful number, since it uses less digits than its factorization.

249241956087601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918019.

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 249241956087601 in words is "two hundred forty-nine trillion, two hundred forty-one billion, nine hundred fifty-six million, eighty-seven thousand, six hundred one".