511438092201 has 51 divisors (see below), whose sum is σ = 774259841271. Its totient is φ = 337830666408.

The previous prime is 511438092157. The next prime is 511438092241. The reversal of 511438092201 is 102290834115.

The square root of 511438092201 is 715149.

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

511438092201 is a `hidden beast` number, since 5 + 11 + 438 + 0 + 9 + 2 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 356469896601 + 154968195600 = 597051^2 + 393660^2 .

It is not a de Polignac number, because 511438092201 - 2⁷ = 511438092073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (511438092241) by changing a digit.

It is a polite number, since it can be written in 50 ways as a sum of consecutive naturals, for example, 4692092535 + ... + 4692092643.

Almost surely, 2^511438092201 is an apocalyptic number.

511438092201 is the 715149-th square number.

511438092201 is the 357575-th centered octagonal number.

It is an amenable number.

511438092201 is a deficient number, since it is larger than the sum of its proper divisors (262821749070).

511438092201 is an frugal number, since it uses more digits than its factorization.

511438092201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 511438092201 by its sum of digits (36), we get a square (18411771319236 = 4290894²).

The spelling of 511438092201 in words is "five hundred eleven billion, four hundred thirty-eight million, ninety-two thousand, two hundred one".