225513155550 has 192 divisors, whose sum is σ = 606061209600. Its totient is φ = 55299801600.

The previous prime is 225513155449. The next prime is 225513155573. The reversal of 225513155550 is 55551315522.

225513155550 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-2 number, since 2×225513155550² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225513155499 and 225513155508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48610131 + ... + 48614769.

It is an arithmetic number, because the mean of its divisors is an integer number (3156568800).

Almost surely, 2^225513155550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225513155550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303030604800).

225513155550 is an abundant number, since it is smaller than the sum of its proper divisors (380548054050).

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

225513155550 is a wasteful number, since it uses less digits than its factorization.

225513155550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 187500, while the sum is 39.

The spelling of 225513155550 in words is "two hundred twenty-five billion, five hundred thirteen million, one hundred fifty-five thousand, five hundred fifty".