53012400 has 120 divisors (see below), whose sum is σ = 194106624. Its totient is φ = 12115200.

The previous prime is 53012383. The next prime is 53012417. The reversal of 53012400 is 421035.

53012400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53012383) and next prime (53012417).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 53012400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5245 + ... + 11555.

Almost surely, 2^53012400 is an apocalyptic number.

53012400 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 53012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97053312).

53012400 is an abundant number, since it is smaller than the sum of its proper divisors (141094224).

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

53012400 is a wasteful number, since it uses less digits than its factorization.

53012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 53012400 is about 7280.9614749702. The cubic root of 53012400 is about 375.6578674418.

Adding to 53012400 its reverse (421035), we get a palindrome (53433435).

The spelling of 53012400 in words is "fifty-three million, twelve thousand, four hundred".