51525340100 has 144 divisors (see below), whose sum is σ = 121798037760. Its totient is φ = 18806860800.

The previous prime is 51525340099. The next prime is 51525340199. The reversal of 51525340100 is 104352515.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 51525340100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56558645 + ... + 56559555.

Almost surely, 2^51525340100 is an apocalyptic number.

51525340100 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 51525340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60899018880).

51525340100 is an abundant number, since it is smaller than the sum of its proper divisors (70272697660).

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

51525340100 is a wasteful number, since it uses less digits than its factorization.

51525340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 51525340100 its reverse (104352515), we get a palindrome (51629692615).

The spelling of 51525340100 in words is "fifty-one billion, five hundred twenty-five million, three hundred forty thousand, one hundred".