820125827 has 2 divisors, whose sum is σ = 820125828. Its totient is φ = 820125826.

The previous prime is 820125809. The next prime is 820125841. The reversal of 820125827 is 728521028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820125827 - 2¹⁶ = 820060291 is a prime.

It is a super-2 number, since 2×820125827² = 1345212744224867858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (820125857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410062913 + 410062914.

It is an arithmetic number, because the mean of its divisors is an integer number (410062914).

Almost surely, 2^820125827 is an apocalyptic number.

820125827 is a deficient number, since it is larger than the sum of its proper divisors (1).

820125827 is an equidigital number, since it uses as much as digits as its factorization.

820125827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 820125827 is about 28637.8390769974. The cubic root of 820125827 is about 936.0380350014.

The spelling of 820125827 in words is "eight hundred twenty million, one hundred twenty-five thousand, eight hundred twenty-seven".