271285764201 has 9 divisors (see below), whose sum is σ = 391859471991. Its totient is φ = 180856134432.

The previous prime is 271285764187. The next prime is 271285764251. The reversal of 271285764201 is 102467582172.

The square root of 271285764201 is 520851.

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

271285764201 is a `hidden beast` number, since 2 + 71 + 2 + 8 + 576 + 4 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157160709225 + 114125054976 = 396435^2 + 337824^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 271285764201 - 2⁹ = 271285763689 is a prime.

It is a super-3 number, since 3×271285764201³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (271285764251) 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, 1475745 + ... + 1649361.

Almost surely, 2^271285764201 is an apocalyptic number.

271285764201 is the 520851-st square number.

271285764201 is the 260426-th centered octagonal number.

It is an amenable number.

271285764201 is a deficient number, since it is larger than the sum of its proper divisors (120573707790).

271285764201 is an frugal number, since it uses more digits than its factorization.

271285764201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347240 (or 173620 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 271285764201 in words is "two hundred seventy-one billion, two hundred eighty-five million, seven hundred sixty-four thousand, two hundred one".