625016000 has 112 divisors (see below), whose sum is σ = 1769132352. Its totient is φ = 214272000.

The previous prime is 625015981. The next prime is 625016003. The reversal of 625016000 is 610526.

It is a sliding number, since 625016000 = 16000 + 625000000 and 1/16000 + 1/625000000 = 0.0000625016000.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (625016003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50420 + ... + 61580.

Almost surely, 2^625016000 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 625016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884566176).

625016000 is an abundant number, since it is smaller than the sum of its proper divisors (1144116352).

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

625016000 is a wasteful number, since it uses less digits than its factorization.

625016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11195 (or 11175 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 625016000 is about 25000.3199979520. The cubic root of 625016000 is about 854.9952691735.

Adding to 625016000 its reverse (610526), we get a palindrome (625626526).

It can be divided in two parts, 6250 and 16000, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 625016000 in words is "six hundred twenty-five million, sixteen thousand".