526748401 has 9 divisors (see below), whose sum is σ = 537208651. Its totient is φ = 516489304.

The previous prime is 526748389. The next prime is 526748441. The reversal of 526748401 is 104847625.

The square root of 526748401 is 22951.

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

It can be written as a sum of positive squares in only one way, i.e., 124344801 + 402403600 = 11151^2 + 20060^2 .

It is not a de Polignac number, because 526748401 - 2⁷ = 526748273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (526748441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1353915 + ... + 1354303.

Almost surely, 2^526748401 is an apocalyptic number.

526748401 is the 22951-st square number.

526748401 is the 11476-th centered octagonal number.

It is an amenable number.

526748401 is a deficient number, since it is larger than the sum of its proper divisors (10460250).

526748401 is an frugal number, since it uses more digits than its factorization.

526748401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The cubic root of 526748401 is about 807.6088609637.

It can be divided in two parts, 52674 and 8401, that added together give a triangular number (61075 = T₃₄₉).

The spelling of 526748401 in words is "five hundred twenty-six million, seven hundred forty-eight thousand, four hundred one".