1301552000 has 128 divisors (see below), whose sum is σ = 3698585280. Its totient is φ = 446208000.

The previous prime is 1301551973. The next prime is 1301552009. The reversal of 1301552000 is 2551031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1301552000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301552009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106190 + ... + 117810.

Almost surely, 2^1301552000 is an apocalyptic number.

1301552000 is a gapful number since it is divisible by the number (10) 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 1301552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849292640).

1301552000 is an abundant number, since it is smaller than the sum of its proper divisors (2397033280).

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

1301552000 is an equidigital number, since it uses as much as digits as its factorization.

1301552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11657 (or 11635 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1301552000 is about 36077.0287024860. The cubic root of 1301552000 is about 1091.8270287378.

The spelling of 1301552000 in words is "one billion, three hundred one million, five hundred fifty-two thousand".