85569807656025 has 243 divisors, whose sum is σ = 195993811754013. Its totient is φ = 35557038316800.

The previous prime is 85569807655999. The next prime is 85569807656051. The reversal of 85569807656025 is 52065670896558.

The square root of 85569807656025 is 9250395.

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

85569807656025 is a `hidden beast` number, since 8 + 5 + 5 + 6 + 9 + 8 + 0 + 7 + 6 + 5 + 602 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (85569807655999) and next prime (85569807656051).

It can be written as a sum of positive squares in 4 ways, for example, as 4273629129 + 85565534026896 = 65373^2 + 9250164^2 .

It is not a de Polignac number, because 85569807656025 - 2⁹ = 85569807655513 is a prime.

It is a super-2 number, since 2×85569807656025² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10684202221 + ... + 10684210229.

Almost surely, 2^{85569807656025} is an apocalyptic number.

85569807656025 is the 9250395-th square number.

85569807656025 is the 4625198-th centered octagonal number.

It is an amenable number.

85569807656025 is an abundant number, since it is smaller than the sum of its proper divisors (110424004097988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85569807656025 is an equidigital number, since it uses as much as digits as its factorization.

85569807656025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 1088640000, while the sum is 72.

The spelling of 85569807656025 in words is "eighty-five trillion, five hundred sixty-nine billion, eight hundred seven million, six hundred fifty-six thousand, twenty-five".