526940972649 has 81 divisors (see below), whose sum is σ = 959112018423. Its totient is φ = 277842356064.

The previous prime is 526940972629. The next prime is 526940972713. The reversal of 526940972649 is 946279049625.

The square root of 526940972649 is 725907.

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

526940972649 is a `hidden beast` number, since 526 + 9 + 40 + 9 + 7 + 2 + 64 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77949848025 + 448991124624 = 279195^2 + 670068^2 .

It is not a de Polignac number, because 526940972649 - 2⁷ = 526940972521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (526940972629) 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 80 ways as a sum of consecutive naturals, for example, 198171282 + ... + 198173940.

Almost surely, 2^526940972649 is an apocalyptic number.

526940972649 is the 725907-th square number.

526940972649 is the 362954-th centered octagonal number.

It is an amenable number.

526940972649 is a deficient number, since it is larger than the sum of its proper divisors (432171045774).

526940972649 is an equidigital number, since it uses as much as digits as its factorization.

526940972649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 526940972649 in words is "five hundred twenty-six billion, nine hundred forty million, nine hundred seventy-two thousand, six hundred forty-nine".