511201006261 has 48 divisors (see below), whose sum is σ = 616862917440. Its totient is φ = 418927196160.

The previous prime is 511201006243. The next prime is 511201006273. The reversal of 511201006261 is 162600102115.

It is a happy number.

It is not a de Polignac number, because 511201006261 - 2¹¹ = 511201004213 is a prime.

It is a super-2 number, since 2×511201006261² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511201006231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21326295 + ... + 21350251.

It is an arithmetic number, because the mean of its divisors is an integer number (12851310780).

Almost surely, 2^511201006261 is an apocalyptic number.

It is an amenable number.

511201006261 is a deficient number, since it is larger than the sum of its proper divisors (105661911179).

511201006261 is a wasteful number, since it uses less digits than its factorization.

511201006261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24226 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 511201006261 its reverse (162600102115), we get a palindrome (673801108376).

The spelling of 511201006261 in words is "five hundred eleven billion, two hundred one million, six thousand, two hundred sixty-one".