51115644251201 has 8 divisors (see below), whose sum is σ = 51455052023424. Its totient is φ = 50776633218240.

The previous prime is 51115644251179. The next prime is 51115644251213. The reversal of 51115644251201 is 10215244651115.

51115644251201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51115644251201 - 2¹⁴ = 51115644234817 is a prime.

It is a super-2 number, since 2×51115644251201² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51115644251401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98926280 + ... + 99441641.

It is an arithmetic number, because the mean of its divisors is an integer number (6431881502928).

Almost surely, 2^{51115644251201} is an apocalyptic number.

It is an amenable number.

51115644251201 is a deficient number, since it is larger than the sum of its proper divisors (339407772223).

51115644251201 is a wasteful number, since it uses less digits than its factorization.

51115644251201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198369631.

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 51115644251201 in words is "fifty-one trillion, one hundred fifteen billion, six hundred forty-four million, two hundred fifty-one thousand, two hundred one".