51152400 has 180 divisors, whose sum is σ = 191342788. Its totient is φ = 12579840.

The previous prime is 51152399. The next prime is 51152401. The reversal of 51152400 is 425115.

It is an interprime number because it is at equal distance from previous prime (51152399) and next prime (51152401).

It can be written as a sum of positive squares in 6 ways, for example, as 1296 + 51151104 = 36^2 + 7152^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51152401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46254 + ... + 47346.

Almost surely, 2^51152400 is an apocalyptic number.

51152400 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 51152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95671394).

51152400 is an abundant number, since it is smaller than the sum of its proper divisors (140190388).

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

51152400 is a wasteful number, since it uses less digits than its factorization.

51152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 51152400 is about 7152.0906034530. The cubic root of 51152400 is about 371.2119982869.

Adding to 51152400 its reverse (425115), we get a palindrome (51577515).

The spelling of 51152400 in words is "fifty-one million, one hundred fifty-two thousand, four hundred".