825426216 has 24 divisors (see below), whose sum is σ = 2235529530. Its totient is φ = 275142048.

The previous prime is 825426137. The next prime is 825426223. The reversal of 825426216 is 612624528.

It is a happy number.

825426216 is a `hidden beast` number, since 8 + 25 + 4 + 2 + 621 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 793548900 + 31877316 = 28170^2 + 5646^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×825426216³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5732055 + ... + 5732198.

Almost surely, 2^825426216 is an apocalyptic number.

It is an amenable number.

825426216 is an abundant number, since it is smaller than the sum of its proper divisors (1410103314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825426216 is a wasteful number, since it uses less digits than its factorization.

825426216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11464265 (or 11464258 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 825426216 is about 28730.2317428871. The cubic root of 825426216 is about 938.0502122744.

The spelling of 825426216 in words is "eight hundred twenty-five million, four hundred twenty-six thousand, two hundred sixteen".