953112875625 has 75 divisors (see below), whose sum is σ = 1779572995761. Its totient is φ = 508209714000.

The previous prime is 953112875567. The next prime is 953112875669. The reversal of 953112875625 is 526578211359.

The square root of 953112875625 is 976275.

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

953112875625 is a `hidden beast` number, since 9 + 5 + 3 + 1 + 1 + 2 + 8 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74724049449 + 878388826176 = 273357^2 + 937224^2 .

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

It is not a de Polignac number, because 953112875625 - 2¹³ = 953112867433 is a prime.

It is an unprimeable number.

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 74 ways as a sum of consecutive naturals, for example, 219659706 + ... + 219664044.

Almost surely, 2^953112875625 is an apocalyptic number.

953112875625 is the 976275-th square number.

953112875625 is the 488138-th centered octagonal number.

It is an amenable number.

953112875625 is a deficient number, since it is larger than the sum of its proper divisors (826460120136).

953112875625 is an frugal number, since it uses more digits than its factorization.

953112875625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 4347 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 953112875625 in words is "nine hundred fifty-three billion, one hundred twelve million, eight hundred seventy-five thousand, six hundred twenty-five".