826453719025 has 27 divisors (see below), whose sum is σ = 1126504081633. Its totient is φ = 601020886400.

The previous prime is 826453719019. The next prime is 826453719137. The reversal of 826453719025 is 520917354628.

The square root of 826453719025 is 909095.

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

It can be written as a sum of positive squares in 4 ways, for example, as 87342118369 + 739111600656 = 295537^2 + 859716^2 .

It is not a de Polignac number, because 826453719025 - 2¹⁹ = 826453194737 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49991961 + ... + 50008489.

It is a 2-persistent number, because it is pandigital, and so is 2⋅826453719025 = 1652907438050, but 3⋅826453719025 = 2479361157075 is not.

Almost surely, 2^826453719025 is an apocalyptic number.

826453719025 is the 909095-th square number.

826453719025 is the 454548-th centered octagonal number.

It is an amenable number.

826453719025 is a deficient number, since it is larger than the sum of its proper divisors (300050362608).

826453719025 is an frugal number, since it uses more digits than its factorization.

826453719025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33090 (or 16545 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 826453719025 in words is "eight hundred twenty-six billion, four hundred fifty-three million, seven hundred nineteen thousand, twenty-five".