525687351849 has 81 divisors (see below), whose sum is σ = 846145750359. Its totient is φ = 314262637920.

The previous prime is 525687351809. The next prime is 525687351877. The reversal of 525687351849 is 948153786525.

The square root of 525687351849 is 725043.

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

525687351849 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 8 + 73 + 518 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 478192995225 + 47494356624 = 691515^2 + 217932^2 .

It is not a de Polignac number, because 525687351849 - 2¹¹ = 525687349801 is a prime.

It is a super-3 number, since 3×525687351849³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (525687351809) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 3038655127 + ... + 3038655299.

Almost surely, 2^525687351849 is an apocalyptic number.

525687351849 is the 725043-rd square number.

525687351849 is the 362522-nd centered octagonal number.

It is an amenable number.

525687351849 is a deficient number, since it is larger than the sum of its proper divisors (320458398510).

525687351849 is a wasteful number, since it uses less digits than its factorization.

525687351849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 314 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 525687351849 in words is "five hundred twenty-five billion, six hundred eighty-seven million, three hundred fifty-one thousand, eight hundred forty-nine".