51738588 has 84 divisors (see below), whose sum is σ = 148184568. Its totient is φ = 15668640.

The previous prime is 51738571. The next prime is 51738593. The reversal of 51738588 is 88583715.

It is a happy number.

It is a super-3 number, since 3×51738588³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 31270 + ... + 32882.

It is an arithmetic number, because the mean of its divisors is an integer number (1764102).

Almost surely, 2^51738588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51738588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74092284).

51738588 is an abundant number, since it is smaller than the sum of its proper divisors (96445980).

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

51738588 is a wasteful number, since it uses less digits than its factorization.

51738588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1629 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 51738588 is about 7192.9540524043. The cubic root of 51738588 is about 372.6246010502.

It can be divided in two parts, 51738 and 588, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 51738588 in words is "fifty-one million, seven hundred thirty-eight thousand, five hundred eighty-eight".