51201768567 has 16 divisors (see below), whose sum is σ = 69356910080. Its totient is φ = 33591583872.

The previous prime is 51201768517. The next prime is 51201768577. The reversal of 51201768567 is 76586710215.

It is not a de Polignac number, because 51201768567 - 2¹⁵ = 51201735799 is a prime.

It is a super-2 number, since 2×51201768567² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51201768517) 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, 76578 + ... + 329040.

It is an arithmetic number, because the mean of its divisors is an integer number (4334806880).

Almost surely, 2^51201768567 is an apocalyptic number.

51201768567 is a deficient number, since it is larger than the sum of its proper divisors (18155141513).

51201768567 is a wasteful number, since it uses less digits than its factorization.

51201768567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253542.

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 51201768567 in words is "fifty-one billion, two hundred one million, seven hundred sixty-eight thousand, five hundred sixty-seven".