51540870772197 has 256 divisors, whose sum is σ = 86177710080000. Its totient is φ = 30308998245120.

The previous prime is 51540870772189. The next prime is 51540870772241. The reversal of 51540870772197 is 79127707804515.

51540870772197 is a `hidden beast` number, since 5 + 1 + 5 + 408 + 7 + 0 + 7 + 7 + 219 + 7 = 666.

It is not a de Polignac number, because 51540870772197 - 2³ = 51540870772189 is a prime.

It is a super-2 number, since 2×51540870772197² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51540870770197) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13342185688 + ... + 13342189550.

It is an arithmetic number, because the mean of its divisors is an integer number (336631680000).

Almost surely, 2^{51540870772197} is an apocalyptic number.

51540870772197 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

51540870772197 is a deficient number, since it is larger than the sum of its proper divisors (34636839307803).

51540870772197 is a wasteful number, since it uses less digits than its factorization.

51540870772197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 63.

The spelling of 51540870772197 in words is "fifty-one trillion, five hundred forty billion, eight hundred seventy million, seven hundred seventy-two thousand, one hundred ninety-seven".