51937000 has 64 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 20584000.

The previous prime is 51936953. The next prime is 51937003. The reversal of 51937000 is 73915.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (51937003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166845 + ... + 167155.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^51937000 is an apocalyptic number.

51937000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51937000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

51937000 is an abundant number, since it is smaller than the sum of its proper divisors (70716440).

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

51937000 is a wasteful number, since it uses less digits than its factorization.

51937000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 51937000 is about 7206.7329630006. The cubic root of 51937000 is about 373.1003187391.

The spelling of 51937000 in words is "fifty-one million, nine hundred thirty-seven thousand".