51125634 has 64 divisors (see below), whose sum is σ = 134062080. Its totient is φ = 14132880.

The previous prime is 51125629. The next prime is 51125639. The reversal of 51125634 is 43652115.

51125634 is a `hidden beast` number, since 5 + 1 + 1 + 25 + 634 = 666.

It is an interprime number because it is at equal distance from previous prime (51125629) and next prime (51125639).

It is a super-2 number, since 2×51125634² = 5227660903803912, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 51125598 and 51125607.

It is not an unprimeable number, because it can be changed into a prime (51125639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9537 + ... + 13899.

It is an arithmetic number, because the mean of its divisors is an integer number (2094720).

Almost surely, 2^51125634 is an apocalyptic number.

51125634 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51125634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67031040).

51125634 is an abundant number, since it is smaller than the sum of its proper divisors (82936446).

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

51125634 is a wasteful number, since it uses less digits than its factorization.

51125634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4406 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 51125634 is about 7150.2191574804. The cubic root of 51125634 is about 371.1472402054.

Adding to 51125634 its reverse (43652115), we get a palindrome (94777749).

The spelling of 51125634 in words is "fifty-one million, one hundred twenty-five thousand, six hundred thirty-four".