51838875 has 96 divisors (see below), whose sum is σ = 105131520. Its totient is φ = 24360000.

The previous prime is 51838873. The next prime is 51838877. The reversal of 51838875 is 57883815.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51838873) and next prime (51838877).

It is not a de Polignac number, because 51838875 - 2¹ = 51838873 is a prime.

It is a super-2 number, since 2×51838875² = 5374537922531250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 51838875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51838873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 730090 + ... + 730160.

It is an arithmetic number, because the mean of its divisors is an integer number (1095120).

Almost surely, 2^51838875 is an apocalyptic number.

51838875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51838875 is an abundant number, since it is smaller than the sum of its proper divisors (53292645).

51838875 is a wasteful number, since it uses less digits than its factorization.

51838875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

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

The square root of 51838875 is about 7199.9218745761. The cubic root of 51838875 is about 372.8652034445.

It can be divided in two parts, 518 and 38875, that added together give a palindrome (39393).

The spelling of 51838875 in words is "fifty-one million, eight hundred thirty-eight thousand, eight hundred seventy-five".