5625350100 has 288 divisors, whose sum is σ = 18700469760. Its totient is φ = 1449861120.

The previous prime is 5625350089. The next prime is 5625350119. The reversal of 5625350100 is 10535265.

5625350100 is a `hidden beast` number, since 5 + 625 + 35 + 0 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12309072 + ... + 12309528.

Almost surely, 2^5625350100 is an apocalyptic number.

5625350100 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 5625350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350234880).

5625350100 is an abundant number, since it is smaller than the sum of its proper divisors (13075119660).

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

5625350100 is a wasteful number, since it uses less digits than its factorization.

5625350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5625350100 is about 75002.3339636841. Note that the first 3 decimals coincide. The cubic root of 5625350100 is about 1778.4835483195.

Adding to 5625350100 its reverse (10535265), we get a palindrome (5635885365).

The spelling of 5625350100 in words is "five billion, six hundred twenty-five million, three hundred fifty thousand, one hundred".