51252400 has 60 divisors (see below), whose sum is σ = 126498352. Its totient is φ = 19941120.

The previous prime is 51252391. The next prime is 51252401. The reversal of 51252400 is 425215.

It is not an unprimeable number, because it can be changed into a prime (51252401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13069 + ... + 16531.

Almost surely, 2^51252400 is an apocalyptic number.

51252400 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 51252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63249176).

51252400 is an abundant number, since it is smaller than the sum of its proper divisors (75245952).

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

51252400 is a wasteful number, since it uses less digits than its factorization.

51252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 51252400 is about 7159.0781529468. The cubic root of 51252400 is about 371.4537401936.

Adding to 51252400 its reverse (425215), we get a palindrome (51677615).

The spelling of 51252400 in words is "fifty-one million, two hundred fifty-two thousand, four hundred".