825756121 has 8 divisors (see below), whose sum is σ = 877318920. Its totient is φ = 775732608.

The previous prime is 825756119. The next prime is 825756137. The reversal of 825756121 is 121657528.

It can be written as a sum of positive squares in 4 ways, for example, as 322382025 + 503374096 = 17955^2 + 22436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825756121 - 2¹ = 825756119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825796121) 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 7 ways as a sum of consecutive naturals, for example, 383716 + ... + 385861.

It is an arithmetic number, because the mean of its divisors is an integer number (109664865).

Almost surely, 2^825756121 is an apocalyptic number.

It is an amenable number.

825756121 is a deficient number, since it is larger than the sum of its proper divisors (51562799).

825756121 is a wasteful number, since it uses less digits than its factorization.

825756121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769643.

The product of its digits is 33600, while the sum is 37.

The square root of 825756121 is about 28735.9725953377. The cubic root of 825756121 is about 938.1751684200.

The spelling of 825756121 in words is "eight hundred twenty-five million, seven hundred fifty-six thousand, one hundred twenty-one".