825410407441 has 3 divisors (see below), whose sum is σ = 825411315963. Its totient is φ = 825409498920.

The previous prime is 825410407411. The next prime is 825410407537. The reversal of 825410407441 is 144704014528.

It is a happy number.

The square root of 825410407441 is 908521.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 325674521041 + 499735886400 = 570679^2 + 706920^2 .

It is not a de Polignac number, because 825410407441 - 2¹⁵ = 825410374673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 825410407394 and 825410407403.

It is not an unprimeable number, because it can be changed into a prime (825410407411) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 454261 + ... + 1362781.

It is an arithmetic number, because the mean of its divisors is an integer number (275137105321).

Almost surely, 2^825410407441 is an apocalyptic number.

825410407441 is the 908521-st square number.

825410407441 is the 454261-st centered octagonal number.

It is an amenable number.

825410407441 is a deficient number, since it is larger than the sum of its proper divisors (908522).

825410407441 is an frugal number, since it uses more digits than its factorization.

825410407441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817042 (or 908521 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The spelling of 825410407441 in words is "eight hundred twenty-five billion, four hundred ten million, four hundred seven thousand, four hundred forty-one".