625001600 has 96 divisors (see below), whose sum is σ = 1634912100. Its totient is φ = 235274240.

The previous prime is 625001567. The next prime is 625001621. The reversal of 625001600 is 6100526.

625001600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 225961024 + 399040576 = 15032^2 + 19976^2 .

It is a sliding number, since 625001600 = 1600 + 625000000 and 1/1600 + 1/625000000 = 0.000625001600.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48656 + ... + 60144.

Almost surely, 2^625001600 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 625001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817456050).

625001600 is an abundant number, since it is smaller than the sum of its proper divisors (1009910500).

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

625001600 is a wasteful number, since it uses less digits than its factorization.

625001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11513 counting only the distinct ones).

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

The square root of 625001600 is about 25000.0319999795. The cubic root of 625001600 is about 854.9887029275.

It can be divided in two parts, 62500 and 1600, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 625001600 in words is "six hundred twenty-five million, one thousand, six hundred".