1301056000 has 160 divisors (see below), whose sum is σ = 3360923280. Its totient is φ = 501760000.

The previous prime is 1301055997. The next prime is 1301056033. The reversal of 1301056000 is 6501031.

It can be written as a sum of positive squares in 8 ways, for example, as 192432384 + 1108623616 = 13872^2 + 33296^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1855650 + ... + 1856350.

Almost surely, 2^1301056000 is an apocalyptic number.

1301056000 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 1301056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680461640).

1301056000 is an abundant number, since it is smaller than the sum of its proper divisors (2059867280).

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

1301056000 is an frugal number, since it uses more digits than its factorization.

1301056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1301056000 is about 36070.1538671517. The cubic root of 1301056000 is about 1091.6883186921.

Adding to 1301056000 its reverse (6501031), we get a palindrome (1307557031).

The spelling of 1301056000 in words is "one billion, three hundred one million, fifty-six thousand".