828651551809 has 9 divisors (see below), whose sum is σ = 842515156899. Its totient is φ = 815012481960.

The previous prime is 828651551753. The next prime is 828651551869. The reversal of 828651551809 is 908155156828.

The square root of 828651551809 is 910303.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26946207409 + 801705344400 = 164153^2 + 895380^2 .

It is not a de Polignac number, because 828651551809 - 2²⁵ = 828617997377 is a prime.

It is a super-2 number, since 2×828651551809² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828651551869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55521022 + ... + 55535944.

It is an arithmetic number, because the mean of its divisors is an integer number (93612795211).

Almost surely, 2^828651551809 is an apocalyptic number.

828651551809 is the 910303-rd square number.

828651551809 is the 455152-nd centered octagonal number.

It is an amenable number.

828651551809 is a deficient number, since it is larger than the sum of its proper divisors (13863605090).

828651551809 is an frugal number, since it uses more digits than its factorization.

828651551809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29968 (or 14984 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 58.

The spelling of 828651551809 in words is "eight hundred twenty-eight billion, six hundred fifty-one million, five hundred fifty-one thousand, eight hundred nine".