1961582319225 has 27 divisors (see below), whose sum is σ = 3513449516239. Its totient is φ = 1046166032400.

The previous prime is 1961582319163. The next prime is 1961582319247. The reversal of 1961582319225 is 5229132851691.

The square root of 1961582319225 is 1400565.

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

1961582319225 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 582 + 31 + 9 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 706169634921 + 1255412684304 = 840339^2 + 1120452^2 .

It is not a de Polignac number, because 1961582319225 - 2⁹ = 1961582318713 is a prime.

It is a super-2 number, since 2×1961582319225² (a number of 25 digits) contains 22 as substring.

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, 20961790 + ... + 21055160.

Almost surely, 2^{1961582319225} is an apocalyptic number.

1961582319225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1961582319225 is the 1400565-th square number.

1961582319225 is the 700283-rd centered octagonal number.

It is an amenable number.

1961582319225 is a deficient number, since it is larger than the sum of its proper divisors (1551867197014).

1961582319225 is an frugal number, since it uses more digits than its factorization.

1961582319225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186758 (or 93379 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 1961582319225 in words is "one trillion, nine hundred sixty-one billion, five hundred eighty-two million, three hundred nineteen thousand, two hundred twenty-five".