85951580625 has 75 divisors (see below), whose sum is σ = 160567877613. Its totient is φ = 45805662000.

The previous prime is 85951580597. The next prime is 85951580639. The reversal of 85951580625 is 52608515958.

The square root of 85951580625 is 293175.

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

85951580625 is a `hidden beast` number, since 8 + 5 + 9 + 5 + 1 + 5 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6738603921 + 79212976704 = 82089^2 + 281448^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 85951580625 - 2¹⁷ = 85951449553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 65963724 + ... + 65965026.

Almost surely, 2^85951580625 is an apocalyptic number.

85951580625 is the 293175-th square number.

85951580625 is the 146588-th centered octagonal number.

It is an amenable number.

85951580625 is a deficient number, since it is larger than the sum of its proper divisors (74616296988).

85951580625 is an frugal number, since it uses more digits than its factorization.

85951580625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 85951580625 in words is "eighty-five billion, nine hundred fifty-one million, five hundred eighty thousand, six hundred twenty-five".