51113131561410 has 256 divisors, whose sum is σ = 131486833336320. Its totient is φ = 12671247052800.

The previous prime is 51113131561403. The next prime is 51113131561411. The reversal of 51113131561410 is 1416513131115.

It is a super-3 number, since 3×51113131561410³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (51113131561411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48083848539 + ... + 48083849601.

It is an arithmetic number, because the mean of its divisors is an integer number (513620442720).

Almost surely, 2^{51113131561410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51113131561410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65743416668160).

51113131561410 is an abundant number, since it is smaller than the sum of its proper divisors (80373701774910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51113131561410 is a wasteful number, since it uses less digits than its factorization.

51113131561410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073.

The product of its (nonzero) digits is 5400, while the sum is 33.

Adding to 51113131561410 its reverse (1416513131115), we get a palindrome (52529644692525).

The spelling of 51113131561410 in words is "fifty-one trillion, one hundred thirteen billion, one hundred thirty-one million, five hundred sixty-one thousand, four hundred ten".