957530746225 has 81 divisors (see below), whose sum is σ = 1270007423307. Its totient is φ = 716099741280.

The previous prime is 957530746147. The next prime is 957530746229. The reversal of 957530746225 is 522647035759.

The square root of 957530746225 is 978535.

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

It can be written as a sum of positive squares in only one way, i.e., 344711068641 + 612819677584 = 587121^2 + 782828^2 .

It is not a de Polignac number, because 957530746225 - 2⁷ = 957530746097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (957530746229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7539612112 + ... + 7539612238.

Almost surely, 2^957530746225 is an apocalyptic number.

957530746225 is the 978535-th square number.

957530746225 is the 489268-th centered octagonal number.

It is an amenable number.

957530746225 is a deficient number, since it is larger than the sum of its proper divisors (312476677082).

957530746225 is an equidigital number, since it uses as much as digits as its factorization.

957530746225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 55.

The spelling of 957530746225 in words is "nine hundred fifty-seven billion, five hundred thirty million, seven hundred forty-six thousand, two hundred twenty-five".