525870078561 has 81 divisors (see below), whose sum is σ = 824228276313. Its totient is φ = 323019279360.

The previous prime is 525870078533. The next prime is 525870078589. The reversal of 525870078561 is 165870078525.

The square root of 525870078561 is 725169.

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

525870078561 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 7 + 0 + 0 + 78 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (525870078533) and next prime (525870078589).

It can be written as a sum of positive squares in 4 ways, for example, as 148205750625 + 377664327936 = 384975^2 + 614544^2 .

It is not a de Polignac number, because 525870078561 - 2²³ = 525861689953 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 525870078498 and 525870078507.

It is not an unprimeable number, because it can be changed into a prime (525870071561) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2182033401 + ... + 2182033641.

Almost surely, 2^525870078561 is an apocalyptic number.

525870078561 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

525870078561 is the 725169-th square number.

525870078561 is the 362585-th centered octagonal number.

It is an amenable number.

525870078561 is a deficient number, since it is larger than the sum of its proper divisors (298358197752).

525870078561 is an equidigital number, since it uses as much as digits as its factorization.

525870078561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 525870078561 in words is "five hundred twenty-five billion, eight hundred seventy million, seventy-eight thousand, five hundred sixty-one".