301053253120 has 80 divisors (see below), whose sum is σ = 721989959328. Its totient is φ = 120393318400.

The previous prime is 301053253097. The next prime is 301053253141. The reversal of 301053253120 is 21352350103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×301053253120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13687572 + ... + 13709548.

Almost surely, 2^301053253120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301053253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360994979664).

301053253120 is an abundant number, since it is smaller than the sum of its proper divisors (420936706208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301053253120 is an equidigital number, since it uses as much as digits as its factorization.

301053253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27351 (or 27335 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 301053253120 in words is "three hundred one billion, fifty-three million, two hundred fifty-three thousand, one hundred twenty".