125325034055550 has 288 divisors, whose sum is σ = 397381809936384. Its totient is φ = 27710421408000.

The previous prime is 125325034055513. The next prime is 125325034055579. The reversal of 125325034055550 is 55550430523521.

It is a happy number.

125325034055550 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 5 + 0 + 3 + 40 + 55 + 550 = 666.

It is a super-2 number, since 2×125325034055550² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 125325034055496 and 125325034055505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241619985 + ... + 242138115.

It is an arithmetic number, because the mean of its divisors is an integer number (1379797951168).

Almost surely, 2^{125325034055550} is an apocalyptic number.

125325034055550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125325034055550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198690904968192).

125325034055550 is an abundant number, since it is smaller than the sum of its proper divisors (272056775880834).

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

125325034055550 is a wasteful number, since it uses less digits than its factorization.

125325034055550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520664 (or 520656 counting only the distinct ones).

The product of its (nonzero) digits is 2250000, while the sum is 45.

The spelling of 125325034055550 in words is "one hundred twenty-five trillion, three hundred twenty-five billion, thirty-four million, fifty-five thousand, five hundred fifty".