51586938 has 96 divisors (see below), whose sum is σ = 130253760. Its totient is φ = 14618880.

The previous prime is 51586933. The next prime is 51586943. The reversal of 51586938 is 83968515.

It is an interprime number because it is at equal distance from previous prime (51586933) and next prime (51586943).

It is a super-2 number, since 2×51586938² = 5322424344431688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51586893 and 51586902.

It is not an unprimeable number, because it can be changed into a prime (51586933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182145 + ... + 182427.

It is an arithmetic number, because the mean of its divisors is an integer number (1356810).

Almost surely, 2^51586938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51586938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65126880).

51586938 is an abundant number, since it is smaller than the sum of its proper divisors (78666822).

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

51586938 is a wasteful number, since it uses less digits than its factorization.

51586938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 51586938 is about 7182.4047504997. The cubic root of 51586938 is about 372.2601804545.

The spelling of 51586938 in words is "fifty-one million, five hundred eighty-six thousand, nine hundred thirty-eight".