257828150201 has 16 divisors (see below), whose sum is σ = 267866116560. Its totient is φ = 247868194560.

The previous prime is 257828150191. The next prime is 257828150233. The reversal of 257828150201 is 102051828752.

It can be written as a sum of positive squares in 8 ways, for example, as 121832412025 + 135995738176 = 349045^2 + 368776^2 .

It is a cyclic number.

It is not a de Polignac number, because 257828150201 - 2³⁴ = 240648281017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257828140201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10022111 + ... + 10047803.

It is an arithmetic number, because the mean of its divisors is an integer number (16741632285).

Almost surely, 2^257828150201 is an apocalyptic number.

It is an amenable number.

257828150201 is a deficient number, since it is larger than the sum of its proper divisors (10037966359).

257828150201 is a wasteful number, since it uses less digits than its factorization.

257828150201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27196.

The product of its (nonzero) digits is 89600, while the sum is 41.

Adding to 257828150201 its reverse (102051828752), we get a palindrome (359879978953).

The spelling of 257828150201 in words is "two hundred fifty-seven billion, eight hundred twenty-eight million, one hundred fifty thousand, two hundred one".