970225000000 has 189 divisors, whose sum is σ = 2418889874809. Its totient is φ = 386120000000.

The previous prime is 970224999979. The next prime is 970225000033. The reversal of 970225000000 is 522079.

The square root of 970225000000 is 985000.

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

970225000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 557793884736 + 412431115264 = 746856^2 + 642208^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4924999902 + ... + 4925000098.

Almost surely, 2^970225000000 is an apocalyptic number.

970225000000 is the 985000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970225000000

970225000000 is an abundant number, since it is smaller than the sum of its proper divisors (1448664874809).

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

970225000000 is an frugal number, since it uses more digits than its factorization.

970225000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

Multiplying 970225000000 by its sum of digits (25), we get a square (24255625000000 = 4925000²).

970225000000 divided by its sum of digits (25) gives a square (38809000000 = 197000²).

Adding to 970225000000 its reverse (522079), we get a palindrome (970225522079).

It can be divided in two parts, 9 and 70225000000, that multiplied together give a square (632025000000 = 795000²).

The spelling of 970225000000 in words is "nine hundred seventy billion, two hundred twenty-five million", and thus it is an aban number.