13775062500 has 252 divisors, whose sum is σ = 45186609104. Its totient is φ = 3669300000.

The previous prime is 13775062489. The next prime is 13775062501. The reversal of 13775062500 is 526057731.

13775062500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13775062500³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13775062501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15187047 + ... + 15187953.

Almost surely, 2^13775062500 is an apocalyptic number.

13775062500 is a gapful number since it is divisible by the number (10) 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 13775062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22593304552).

13775062500 is an abundant number, since it is smaller than the sum of its proper divisors (31411546604).

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

13775062500 is an frugal number, since it uses more digits than its factorization.

13775062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 13775062500 in words is "thirteen billion, seven hundred seventy-five million, sixty-two thousand, five hundred".