86245005625 has 45 divisors (see below), whose sum is σ = 114650105691. Its totient is φ = 64843440000.

The previous prime is 86245005577. The next prime is 86245005629. The reversal of 86245005625 is 52650054268.

The square root of 86245005625 is 293675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 42118121529 + 44126884096 = 205227^2 + 210064^2 .

It is not a de Polignac number, because 86245005625 - 2¹⁵ = 86244972857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86245005629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 124811530 + ... + 124812220.

Almost surely, 2^86245005625 is an apocalyptic number.

86245005625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

86245005625 is the 293675-th square number.

86245005625 is the 146838-th centered octagonal number.

It is an amenable number.

86245005625 is a deficient number, since it is larger than the sum of its proper divisors (28405100066).

86245005625 is an frugal number, since it uses more digits than its factorization.

86245005625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 86245005625 in words is "eighty-six billion, two hundred forty-five million, five thousand, six hundred twenty-five".