625133376 has 420 divisors, whose sum is σ = 2270382048. Its totient is φ = 169247232.

The previous prime is 625133371. The next prime is 625133387. The reversal of 625133376 is 673331526.

625133376 is a `hidden beast` number, since 6 + 251 + 33 + 376 = 666.

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

Its product of digits (68040) is a multiple of the sum of its prime factors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 625133376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625133371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5842315 + ... + 5842421.

Almost surely, 2^625133376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135191024).

625133376 is an abundant number, since it is smaller than the sum of its proper divisors (1645248672).

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

625133376 is a wasteful number, since it uses less digits than its factorization.

625133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 625133376 is about 25002.6673777019. The cubic root of 625133376 is about 855.0487876131.

The spelling of 625133376 in words is "six hundred twenty-five million, one hundred thirty-three thousand, three hundred seventy-six".