1306800825 has 24 divisors (see below), whose sum is σ = 2356994976. Its totient is φ = 633600000.

The previous prime is 1306800811. The next prime is 1306800839. The reversal of 1306800825 is 5280086031.

It is a happy number.

1306800825 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1306800811) and next prime (1306800839).

It is not a de Polignac number, because 1306800825 - 2²⁶ = 1239691961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791176 + ... + 792825.

It is an arithmetic number, because the mean of its divisors is an integer number (98208124).

Almost surely, 2^1306800825 is an apocalyptic number.

1306800825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1306800825 is a deficient number, since it is larger than the sum of its proper divisors (1050194151).

1306800825 is a wasteful number, since it uses less digits than its factorization.

1306800825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584025 (or 1584020 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1306800825 is about 36149.7002062258. The cubic root of 1306800825 is about 1093.2927462274.

Adding to 1306800825 its reverse (5280086031), we get a palindrome (6586886856).

The spelling of 1306800825 in words is "one billion, three hundred six million, eight hundred thousand, eight hundred twenty-five".