51611742 has 112 divisors (see below), whose sum is σ = 143226720. Its totient is φ = 13576896.

The previous prime is 51611737. The next prime is 51611759. The reversal of 51611742 is 24711615.

It is a happy number.

51611742 is a `hidden beast` number, since 5 + 1 + 611 + 7 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 132484 + ... + 132872.

It is an arithmetic number, because the mean of its divisors is an integer number (1278810).

Almost surely, 2^51611742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51611742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71613360).

51611742 is an abundant number, since it is smaller than the sum of its proper divisors (91614978).

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

51611742 is a wasteful number, since it uses less digits than its factorization.

51611742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 51611742 is about 7184.1312627206. The cubic root of 51611742 is about 372.3198341987.

It can be divided in two parts, 5161 and 1742, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 51611742 in words is "fifty-one million, six hundred eleven thousand, seven hundred forty-two".