51513042400 has 72 divisors (see below), whose sum is σ = 125810635104. Its totient is φ = 20596300800.

The previous prime is 51513042391. The next prime is 51513042409. The reversal of 51513042400 is 424031515.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51513042391) and next prime (51513042409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51513042409) 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, 2021740 + ... + 2047060.

It is an arithmetic number, because the mean of its divisors is an integer number (1747369932).

Almost surely, 2^51513042400 is an apocalyptic number.

51513042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51513042400 is an abundant number, since it is smaller than the sum of its proper divisors (74297592704).

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

51513042400 is a wasteful number, since it uses less digits than its factorization.

51513042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27884 (or 27871 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 51513042400 its reverse (424031515), we get a palindrome (51937073915).

The spelling of 51513042400 in words is "fifty-one billion, five hundred thirteen million, forty-two thousand, four hundred".