950180625 has 75 divisors (see below), whose sum is σ = 1786730407. Its totient is φ = 503064000.

The previous prime is 950180549. The next prime is 950180639. The reversal of 950180625 is 526081059.

It is a happy number.

The square root of 950180625 is 30825.

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 656538129 + 293642496 = 25623^2 + 17136^2 .

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

It is not a de Polignac number, because 950180625 - 2⁹ = 950180113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 950180625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 6935557 + ... + 6935693.

Almost surely, 2^950180625 is an apocalyptic number.

950180625 is the 30825-th square number.

950180625 is the 15413-rd centered octagonal number.

It is an amenable number.

950180625 is a deficient number, since it is larger than the sum of its proper divisors (836549782).

950180625 is an frugal number, since it uses more digits than its factorization.

950180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The cubic root of 950180625 is about 983.1098713391.

Multiplying 950180625 by its sum of digits (36), we get a square (34206502500 = 184950²).

The spelling of 950180625 in words is "nine hundred fifty million, one hundred eighty thousand, six hundred twenty-five".