958078804225 has 27 divisors (see below), whose sum is σ = 1196347008969. Its totient is φ = 761126544000.

The previous prime is 958078804219. The next prime is 958078804229. The reversal of 958078804225 is 522408870859.

The square root of 958078804225 is 978815.

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

It can be written as a sum of positive squares in 4 ways, for example, as 575229716721 + 382849087504 = 758439^2 + 618748^2 .

It is not a de Polignac number, because 958078804225 - 2²⁷ = 957944586497 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 958078804225.

It is not an unprimeable number, because it can be changed into a prime (958078804229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 797733625 + ... + 797734825.

Almost surely, 2^958078804225 is an apocalyptic number.

958078804225 is the 978815-th square number.

958078804225 is the 489408-th centered octagonal number.

It is an amenable number.

958078804225 is a deficient number, since it is larger than the sum of its proper divisors (238268204744).

958078804225 is an frugal number, since it uses more digits than its factorization.

958078804225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 58.

The spelling of 958078804225 in words is "nine hundred fifty-eight billion, seventy-eight million, eight hundred four thousand, two hundred twenty-five".