1300828107 has 32 divisors (see below), whose sum is σ = 1815937024. Its totient is φ = 827366400.

The previous prime is 1300828091. The next prime is 1300828153. The reversal of 1300828107 is 7018280031.

It is a happy number.

It is not a de Polignac number, because 1300828107 - 2⁴ = 1300828091 is a prime.

It is a super-2 number, since 2×1300828107² = 3384307527922406898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1300828157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2846223 + ... + 2846679.

It is an arithmetic number, because the mean of its divisors is an integer number (56748032).

Almost surely, 2^1300828107 is an apocalyptic number.

1300828107 is a deficient number, since it is larger than the sum of its proper divisors (515108917).

1300828107 is a wasteful number, since it uses less digits than its factorization.

1300828107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1300828107 is about 36066.9947042999. The cubic root of 1300828107 is about 1091.6245749195.

The spelling of 1300828107 in words is "one billion, three hundred million, eight hundred twenty-eight thousand, one hundred seven".