1947936619225 has 9 divisors (see below), whose sum is σ = 2415450061117. Its totient is φ = 1558343712640.

The previous prime is 1947936619217. The next prime is 1947936619229. The reversal of 1947936619225 is 5229166397491.

The square root of 1947936619225 is 1395685.

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 952882488649 + 995054130576 = 976157^2 + 997524^2 .

It is not a de Polignac number, because 1947936619225 - 2³ = 1947936619217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1947936619229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6838857 + ... + 7117993.

Almost surely, 2^{1947936619225} is an apocalyptic number.

1947936619225 is the 1395685-th square number.

1947936619225 is the 697843-rd centered octagonal number.

It is an amenable number.

1947936619225 is a deficient number, since it is larger than the sum of its proper divisors (467513441892).

1947936619225 is an frugal number, since it uses more digits than its factorization.

1947936619225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558284 (or 279142 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 64.

Multiplying 1947936619225 by its sum of digits (64), we get a square (124667943630400 = 11165480²).

The spelling of 1947936619225 in words is "one trillion, nine hundred forty-seven billion, nine hundred thirty-six million, six hundred nineteen thousand, two hundred twenty-five".