525777261025 has 9 divisors (see below), whose sum is σ = 651968299353. Its totient is φ = 420618908400.

The previous prime is 525777261019. The next prime is 525777261041. The reversal of 525777261025 is 520162777525.

The square root of 525777261025 is 725105.

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 143635694049 + 382141566976 = 378993^2 + 618176^2 .

It is not a de Polignac number, because 525777261025 - 2²¹ = 525775163873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 525777261025.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 3553015 + ... + 3698035.

Almost surely, 2^525777261025 is an apocalyptic number.

525777261025 is the 725105-th square number.

525777261025 is the 362553-rd centered octagonal number.

It is an amenable number.

525777261025 is a deficient number, since it is larger than the sum of its proper divisors (126191038328).

525777261025 is an frugal number, since it uses more digits than its factorization.

525777261025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290052 (or 145026 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 49.

Multiplying 525777261025 by its sum of digits (49), we get a square (25763085790225 = 5075735²).

The spelling of 525777261025 in words is "five hundred twenty-five billion, seven hundred seventy-seven million, two hundred sixty-one thousand, twenty-five".