51131415942 has 64 divisors (see below), whose sum is σ = 114890680320. Its totient is φ = 16854480000.

The previous prime is 51131415893. The next prime is 51131415947. The reversal of 51131415942 is 24951413115.

51131415942 is a `hidden beast` number, since 51 + 1 + 3 + 14 + 1 + 594 + 2 = 666.

It is a super-2 number, since 2×51131415942² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51131415897 and 51131415906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51131415947) 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 31 ways as a sum of consecutive naturals, for example, 4170942 + ... + 4183182.

It is an arithmetic number, because the mean of its divisors is an integer number (1795166880).

Almost surely, 2^51131415942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51131415942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57445340160).

51131415942 is an abundant number, since it is smaller than the sum of its proper divisors (63759264378).

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

51131415942 is a wasteful number, since it uses less digits than its factorization.

51131415942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13106 (or 13100 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 51131415942 in words is "fifty-one billion, one hundred thirty-one million, four hundred fifteen thousand, nine hundred forty-two".