5181264361 has 45 divisors (see below), whose sum is σ = 6603606789. Its totient is φ = 4063183488.

The previous prime is 5181264353. The next prime is 5181264367. The reversal of 5181264361 is 1634621815.

It is a happy number.

The square root of 5181264361 is 71981.

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 3866476761 + 1314787600 = 62181^2 + 36260^2 .

It is not a de Polignac number, because 5181264361 - 2³ = 5181264353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5181264361.

It is not an unprimeable number, because it can be changed into a prime (5181264367) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45851841 + ... + 45851953.

Almost surely, 2^5181264361 is an apocalyptic number.

5181264361 is the 71981-st square number.

5181264361 is the 35991-st centered octagonal number.

It is an amenable number.

5181264361 is a deficient number, since it is larger than the sum of its proper divisors (1422342428).

5181264361 is an frugal number, since it uses more digits than its factorization.

5181264361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 133 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The cubic root of 5181264361 is about 1730.3949960668.

The spelling of 5181264361 in words is "five billion, one hundred eighty-one million, two hundred sixty-four thousand, three hundred sixty-one".