125553330 has 192 divisors, whose sum is σ = 416482560. Its totient is φ = 25546752.

The previous prime is 125553319. The next prime is 125553341. The reversal of 125553330 is 33355521.

125553330 is a `hidden beast` number, since 125 + 5 + 533 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125553319) and next prime (125553341).

It is a super-3 number, since 3×125553330³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125553294 and 125553303.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 203182 + ... + 203798.

It is an arithmetic number, because the mean of its divisors is an integer number (2169180).

Almost surely, 2^125553330 is an apocalyptic number.

125553330 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 125553330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208241280).

125553330 is an abundant number, since it is smaller than the sum of its proper divisors (290929230).

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

125553330 is a wasteful number, since it uses less digits than its factorization.

125553330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 125553330 is about 11205.0582327804. The cubic root of 125553330 is about 500.7366873837.

The spelling of 125553330 in words is "one hundred twenty-five million, five hundred fifty-three thousand, three hundred thirty".