1301125052304 has 960 divisors, whose sum is σ = 4987017953280. Its totient is φ = 320547870720.

The previous prime is 1301125052251. The next prime is 1301125052329. The reversal of 1301125052304 is 4032505211031.

1301125052304 is a `hidden beast` number, since 1 + 301 + 1 + 2 + 5 + 0 + 52 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 680148052 + ... + 680149964.

It is an arithmetic number, because the mean of its divisors is an integer number (5194810368).

Almost surely, 2^{1301125052304} is an apocalyptic number.

1301125052304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301125052304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493508976640).

1301125052304 is an abundant number, since it is smaller than the sum of its proper divisors (3685892900976).

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

1301125052304 is a wasteful number, since it uses less digits than its factorization.

1301125052304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1301125052304 in words is "one trillion, three hundred one billion, one hundred twenty-five million, fifty-two thousand, three hundred four".