527949013201 has 3 divisors (see below), whose sum is σ = 527949739803. Its totient is φ = 527948286600.

The previous prime is 527949013133. The next prime is 527949013309. The reversal of 527949013201 is 102310949725.

The square root of 527949013201 is 726601.

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., 197001934801 + 330947078400 = 443849^2 + 575280^2 .

It is not a de Polignac number, because 527949013201 - 2⁷ = 527949013073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (527949013601) 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, 363301 + ... + 1089901.

It is an arithmetic number, because the mean of its divisors is an integer number (175983246601).

Almost surely, 2^527949013201 is an apocalyptic number.

527949013201 is the 726601-st square number.

527949013201 is the 363301-st centered octagonal number.

It is an amenable number.

527949013201 is a deficient number, since it is larger than the sum of its proper divisors (726602).

527949013201 is an frugal number, since it uses more digits than its factorization.

527949013201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453202 (or 726601 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 527949013201 in words is "five hundred twenty-seven billion, nine hundred forty-nine million, thirteen thousand, two hundred one".