820077251 has 4 divisors (see below), whose sum is σ = 937231152. Its totient is φ = 702923352.

The previous prime is 820077217. The next prime is 820077299. The reversal of 820077251 is 152770028.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 820077251 - 2⁶ = 820077187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820077151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58576940 + ... + 58576953.

It is an arithmetic number, because the mean of its divisors is an integer number (234307788).

Almost surely, 2^820077251 is an apocalyptic number.

820077251 is a deficient number, since it is larger than the sum of its proper divisors (117153901).

820077251 is a wasteful number, since it uses less digits than its factorization.

820077251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117153900.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 820077251 is about 28636.9909557551. The cubic root of 820077251 is about 936.0195541456.

The spelling of 820077251 in words is "eight hundred twenty million, seventy-seven thousand, two hundred fifty-one".