51200000 has 90 divisors (see below), whose sum is σ = 127987902. Its totient is φ = 20480000.

The previous prime is 51199991. The next prime is 51200027. The reversal of 51200000 is 215.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 23658496 + 27541504 = 4864^2 + 5248^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10239998 + ... + 10240002.

Almost surely, 2^51200000 is an apocalyptic number.

51200000 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 51200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63993951).

51200000 is an abundant number, since it is smaller than the sum of its proper divisors (76787902).

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

51200000 is an frugal number, since it uses more digits than its factorization.

51200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 51200000 is about 7155.4175279993. The cubic root of 51200000 is about 371.3271066890.

Multiplying 51200000 by its product of nonzero digits (10), we get a cube (512000000 = 800³).

Adding to 51200000 its reverse (215), we get a palindrome (51200215).

The spelling of 51200000 in words is "fifty-one million, two hundred thousand".