249655310121 has 40 divisors (see below), whose sum is σ = 393246058880. Its totient is φ = 140854031136.

The previous prime is 249655310117. The next prime is 249655310263. The reversal of 249655310121 is 121013556942.

It is a happy number.

249655310121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 249655310121 - 2² = 249655310117 is a prime.

It is a super-2 number, since 2×249655310121² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 249655310121.

It is not an unprimeable number, because it can be changed into a prime (249655300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 349671 + ... + 788403.

It is an arithmetic number, because the mean of its divisors is an integer number (9831151472).

Almost surely, 2^249655310121 is an apocalyptic number.

249655310121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

249655310121 is a deficient number, since it is larger than the sum of its proper divisors (143590748759).

249655310121 is an frugal number, since it uses more digits than its factorization.

249655310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438843 (or 438822 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 249655310121 in words is "two hundred forty-nine billion, six hundred fifty-five million, three hundred ten thousand, one hundred twenty-one".