1301000520 has 128 divisors (see below), whose sum is σ = 4172394240. Its totient is φ = 323727360.

The previous prime is 1301000483. The next prime is 1301000551. The reversal of 1301000520 is 250001031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1301000496 and 1301000505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107412 + ... + 118908.

It is an arithmetic number, because the mean of its divisors is an integer number (32596830).

Almost surely, 2^1301000520 is an apocalyptic number.

1301000520 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 1301000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086197120).

1301000520 is an abundant number, since it is smaller than the sum of its proper divisors (2871393720).

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

1301000520 is a wasteful number, since it uses less digits than its factorization.

1301000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575 (or 11571 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1301000520 is about 36069.3848020728. The cubic root of 1301000520 is about 1091.6728011102.

Adding to 1301000520 its reverse (250001031), we get a palindrome (1551001551).

The spelling of 1301000520 in words is "one billion, three hundred one million, five hundred twenty", and thus it is an aban number.