8257385610 has 24 divisors (see below), whose sum is σ = 21469202820. Its totient is φ = 2201969472.

The previous prime is 8257385581. The next prime is 8257385621. The reversal of 8257385610 is 165837528.

8257385610 is a `hidden beast` number, since 8 + 2 + 57 + 38 + 561 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7767073161 + 490312449 = 88131^2 + 22143^2 .

It is a super-2 number, since 2×8257385610² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45874275 + ... + 45874454.

Almost surely, 2^8257385610 is an apocalyptic number.

8257385610 is an abundant number, since it is smaller than the sum of its proper divisors (13211817210).

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

8257385610 is a wasteful number, since it uses less digits than its factorization.

8257385610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91748742 (or 91748739 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 8257385610 is about 90870.1579727910. The cubic root of 8257385610 is about 2021.2228006249. Note that the first 3 decimals are identical.

The spelling of 8257385610 in words is "eight billion, two hundred fifty-seven million, three hundred eighty-five thousand, six hundred ten".