25705924150201 has 9 divisors (see below), whose sum is σ = 26348403022509. Its totient is φ = 25078747586400.

The previous prime is 25705924150079. The next prime is 25705924150217. The reversal of 25705924150201 is 10205142950752.

The square root of 25705924150201 is 5070101.

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 18902486594601 + 6803437555600 = 4347699^2 + 2608340^2 .

It is not a de Polignac number, because 25705924150201 - 2¹¹ = 25705924148153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25705921150201) 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, 207812311 + ... + 207935971.

Almost surely, 2^{25705924150201} is an apocalyptic number.

25705924150201 is the 5070101-st square number.

25705924150201 is the 2535051-st centered octagonal number.

It is an amenable number.

25705924150201 is a deficient number, since it is larger than the sum of its proper divisors (642478872308).

25705924150201 is an frugal number, since it uses more digits than its factorization.

25705924150201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247404 (or 123702 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 25705924150201 in words is "twenty-five trillion, seven hundred five billion, nine hundred twenty-four million, one hundred fifty thousand, two hundred one".