825951974761 has 3 divisors (see below), whose sum is σ = 825952883581. Its totient is φ = 825951065942.

The previous prime is 825951974711. The next prime is 825951974803. The reversal of 825951974761 is 167479159528.

The square root of 825951974761 is 908819.

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 is not a de Polignac number, because 825951974761 - 2¹³ = 825951966569 is a prime.

It is a super-2 number, since 2×825951974761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 825951974693 and 825951974702.

It is not an unprimeable number, because it can be changed into a prime (825951974711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 454410 + ... + 1363228.

Almost surely, 2^825951974761 is an apocalyptic number.

825951974761 is the 908819-th square number.

825951974761 is the 454410-th centered octagonal number.

It is an amenable number.

825951974761 is a deficient number, since it is larger than the sum of its proper divisors (908820).

825951974761 is an frugal number, since it uses more digits than its factorization.

825951974761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817638 (or 908819 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 64.

Multiplying 825951974761 by its sum of digits (64), we get a square (52860926384704 = 7270552²).

The spelling of 825951974761 in words is "eight hundred twenty-five billion, nine hundred fifty-one million, nine hundred seventy-four thousand, seven hundred sixty-one".