1025600625 has 135 divisors (see below), whose sum is σ = 2189301543. Its totient is φ = 461160000.

The previous prime is 1025600623. The next prime is 1025600651. The reversal of 1025600625 is 5260065201.

The square root of 1025600625 is 32025.

It is a perfect power (a square), and thus also a powerful number.

1025600625 is a `hidden beast` number, since 10 + 25 + 6 + 0 + 0 + 625 = 666.

1025600625 is digitally balanced in base 2, 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 7 ways, for example, as 1014868449 + 10732176 = 31857^2 + 3276^2 .

It is not a de Polignac number, because 1025600625 - 2¹ = 1025600623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1025600623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16813095 + ... + 16813155.

Almost surely, 2^1025600625 is an apocalyptic number.

1025600625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1025600625 is the 32025-th square number.

1025600625 is the 16013-rd centered octagonal number.

It is an amenable number.

1025600625 is an abundant number, since it is smaller than the sum of its proper divisors (1163700918).

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

1025600625 is an frugal number, since it uses more digits than its factorization.

1025600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 76 counting only the distinct ones).

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

The cubic root of 1025600625 is about 1008.4617386887.

Multiplying 1025600625 by its product of nonzero digits (3600), we get a square (3692162250000 = 1921500²).

Adding to 1025600625 its reverse (5260065201), we get a palindrome (6285665826).

The spelling of 1025600625 in words is "one billion, twenty-five million, six hundred thousand, six hundred twenty-five".