1971960190225 has 27 divisors (see below), whose sum is σ = 2556376725819. Its totient is φ = 1508854657200.

The previous prime is 1971960190217. The next prime is 1971960190229. The reversal of 1971960190225 is 5220910691791.

The square root of 1971960190225 is 1404265.

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., 709905668481 + 1262054521744 = 842559^2 + 1123412^2 .

It is not a de Polignac number, because 1971960190225 - 2³ = 1971960190217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1971960190229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161484370 + ... + 161496580.

Almost surely, 2^{1971960190225} is an apocalyptic number.

1971960190225 is the 1404265-th square number.

1971960190225 is the 702133-rd centered octagonal number.

It is an amenable number.

1971960190225 is a deficient number, since it is larger than the sum of its proper divisors (584416535594).

1971960190225 is an frugal number, since it uses more digits than its factorization.

1971960190225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24478 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 52.

The spelling of 1971960190225 in words is "one trillion, nine hundred seventy-one billion, nine hundred sixty million, one hundred ninety thousand, two hundred twenty-five".