826850025 has 81 divisors (see below), whose sum is σ = 1559828023. Its totient is φ = 434775600.

The previous prime is 826849981. The next prime is 826850027. The reversal of 826850025 is 520058628.

The square root of 826850025 is 28755.

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

826850025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 297666009 + 529184016 = 17253^2 + 23004^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 826850025 - 2¹³ = 826841833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (826850027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11645740 + ... + 11645810.

Almost surely, 2^826850025 is an apocalyptic number.

826850025 is the 28755-th square number.

826850025 is the 14378-th centered octagonal number.

It is an amenable number.

826850025 is a deficient number, since it is larger than the sum of its proper divisors (732977998).

826850025 is an frugal number, since it uses more digits than its factorization.

826850025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The cubic root of 826850025 is about 938.5892619189.

Multiplying 826850025 by its sum of digits (36), we get a square (29766600900 = 172530²).

The spelling of 826850025 in words is "eight hundred twenty-six million, eight hundred fifty thousand, twenty-five".