825525122312 has 324 divisors, whose sum is σ = 1895428378935. Its totient is φ = 336754978560.

The previous prime is 825525122299. The next prime is 825525122333. The reversal of 825525122312 is 213221525528.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 612954331396 + 212570790916 = 782914^2 + 461054^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=642466.

It is a super-3 number, since 3×825525122312³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15575945678 + ... + 15575945730.

Almost surely, 2^825525122312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825525122312

825525122312 is an abundant number, since it is smaller than the sum of its proper divisors (1069903256623).

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

825525122312 is a wasteful number, since it uses less digits than its factorization.

825525122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 114 counting only the distinct ones).

The product of its digits is 96000, while the sum is 38.

The spelling of 825525122312 in words is "eight hundred twenty-five billion, five hundred twenty-five million, one hundred twenty-two thousand, three hundred twelve".