1301265000 has 640 divisors, whose sum is σ = 5533228800. Its totient is φ = 279936000.

The previous prime is 1301264981. The next prime is 1301265013. The reversal of 1301265000 is 5621031.

1301265000 is a `hidden beast` number, since 1 + 3 + 0 + 12 + 650 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 76544992 + ... + 76545008.

It is an arithmetic number, because the mean of its divisors is an integer number (8645670).

Almost surely, 2^1301265000 is an apocalyptic number.

1301265000 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 1301265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766614400).

1301265000 is an abundant number, since it is smaller than the sum of its proper divisors (4231963800).

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

1301265000 is an frugal number, since it uses more digits than its factorization.

1301265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1301265000 is about 36073.0508828959. The cubic root of 1301265000 is about 1091.7467713752.

Adding to 1301265000 its reverse (5621031), we get a palindrome (1306886031).

The spelling of 1301265000 in words is "one billion, three hundred one million, two hundred sixty-five thousand".