51540101532513 has 12 divisors (see below), whose sum is σ = 81214705445328. Its totient is φ = 31236425171160.

The previous prime is 51540101532487. The next prime is 51540101532523. The reversal of 51540101532513 is 31523510104515.

51540101532513 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 0 + 101 + 5 + 32 + 513 = 666.

It is not a de Polignac number, because 51540101532513 - 2⁵ = 51540101532481 is a prime.

It is a super-3 number, since 3×51540101532513³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51540101532523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260303542995 + ... + 260303543192.

It is an arithmetic number, because the mean of its divisors is an integer number (6767892120444).

Almost surely, 2^{51540101532513} is an apocalyptic number.

It is an amenable number.

51540101532513 is a deficient number, since it is larger than the sum of its proper divisors (29674603912815).

51540101532513 is a wasteful number, since it uses less digits than its factorization.

51540101532513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520607086204 (or 520607086201 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 51540101532513 in words is "fifty-one trillion, five hundred forty billion, one hundred one million, five hundred thirty-two thousand, five hundred thirteen".