5117612500 has 288 divisors, whose sum is σ = 15066535680. Its totient is φ = 1468800000.

The previous prime is 5117612491. The next prime is 5117612501. The reversal of 5117612500 is 52167115.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117612501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12512296 + ... + 12512704.

It is an arithmetic number, because the mean of its divisors is an integer number (52314360).

Almost surely, 2^5117612500 is an apocalyptic number.

5117612500 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 5117612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533267840).

5117612500 is an abundant number, since it is smaller than the sum of its proper divisors (9948923180).

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

5117612500 is a wasteful number, since it uses less digits than its factorization.

5117612500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 5117612500 is about 71537.4901712382. The cubic root of 5117612500 is about 1723.2798086636.

Adding to 5117612500 its reverse (52167115), we get a palindrome (5169779615).

It can be divided in two parts, 5 and 117612500, that multiplied together give a square (588062500 = 24250²).

The spelling of 5117612500 in words is "five billion, one hundred seventeen million, six hundred twelve thousand, five hundred".