850130100625 has 45 divisors (see below), whose sum is σ = 1150731242661. Its totient is φ = 627567096000.

The previous prime is 850130100613. The next prime is 850130100629. The reversal of 850130100625 is 526001031058.

The square root of 850130100625 is 922025.

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

It can be written as a sum of positive squares in 22 ways, for example, as 72869223249 + 777260877376 = 269943^2 + 881624^2 .

It is not a de Polignac number, because 850130100625 - 2¹³ = 850130092433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (850130100629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 299656707 + ... + 299659543.

Almost surely, 2^850130100625 is an apocalyptic number.

850130100625 is the 922025-th square number.

850130100625 is the 461013-rd centered octagonal number.

It is an amenable number.

850130100625 is a deficient number, since it is larger than the sum of its proper divisors (300601142036).

850130100625 is an frugal number, since it uses more digits than its factorization.

850130100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 850130100625 in words is "eight hundred fifty billion, one hundred thirty million, one hundred thousand, six hundred twenty-five".