962743628025 has 27 divisors (see below), whose sum is σ = 1724407171149. Its totient is φ = 513455418720.

The previous prime is 962743627991. The next prime is 962743628071. The reversal of 962743628025 is 520826347269.

The square root of 962743628025 is 981195.

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

962743628025 is a `hidden beast` number, since 9 + 6 + 2 + 7 + 4 + 3 + 628 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143081384121 + 819662243904 = 378261^2 + 905352^2 .

It is not a de Polignac number, because 962743628025 - 2¹³ = 962743619833 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 14685219 + ... + 14750631.

Almost surely, 2^962743628025 is an apocalyptic number.

962743628025 is the 981195-th square number.

962743628025 is the 490598-th centered octagonal number.

It is an amenable number.

962743628025 is a deficient number, since it is larger than the sum of its proper divisors (761663543124).

962743628025 is an frugal number, since it uses more digits than its factorization.

962743628025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130842 (or 65421 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 962743628025 in words is "nine hundred sixty-two billion, seven hundred forty-three million, six hundred twenty-eight thousand, twenty-five".