1961274207025 has 27 divisors (see below), whose sum is σ = 2829108683361. Its totient is φ = 1344840131040.

The previous prime is 1961274206999. The next prime is 1961274207031. The reversal of 1961274207025 is 5207024721691.

The square root of 1961274207025 is 1400455.

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 87025590001 + 1874248617024 = 295001^2 + 1369032^2 .

It is not a de Polignac number, because 1961274207025 - 2²⁹ = 1960737336113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48995919 + ... + 49035931.

Almost surely, 2^{1961274207025} is an apocalyptic number.

1961274207025 is the 1400455-th square number.

1961274207025 is the 700228-th centered octagonal number.

It is an amenable number.

1961274207025 is a deficient number, since it is larger than the sum of its proper divisors (867834476336).

1961274207025 is an frugal number, since it uses more digits than its factorization.

1961274207025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80050 (or 40025 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 1961274207025 in words is "one trillion, nine hundred sixty-one billion, two hundred seventy-four million, two hundred seven thousand, twenty-five".