625125600 has 360 divisors, whose sum is σ = 2489793768. Its totient is φ = 151372800.

The previous prime is 625125583. The next prime is 625125617. The reversal of 625125600 is 6521526.

625125600 is a `hidden beast` number, since 6 + 2 + 51 + 2 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (625125583) and next prime (625125617).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 712362 + ... + 713238.

Almost surely, 2^625125600 is an apocalyptic number.

625125600 is a gapful number since it is divisible by the number (60) 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 625125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244896884).

625125600 is an abundant number, since it is smaller than the sum of its proper divisors (1864668168).

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

625125600 is a wasteful number, since it uses less digits than its factorization.

625125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 625125600 is about 25002.5118738098. The cubic root of 625125600 is about 855.0452422966.

The spelling of 625125600 in words is "six hundred twenty-five million, one hundred twenty-five thousand, six hundred".