2624000625 has 45 divisors (see below), whose sum is σ = 4743207469. Its totient is φ = 1397418000.

The previous prime is 2624000623. The next prime is 2624000627. The reversal of 2624000625 is 5260004262.

The square root of 2624000625 is 51225.

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

It is an interprime number because it is at equal distance from previous prime (2624000623) and next prime (2624000627).

It can be written as a sum of positive squares in 2 ways, for example, as 205721649 + 2418278976 = 14343^2 + 49176^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2624000625 - 2¹ = 2624000623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2624000623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3841534 + ... + 3842216.

Almost surely, 2^2624000625 is an apocalyptic number.

2624000625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2624000625 is the 51225-th square number.

2624000625 is the 25613-rd centered octagonal number.

It is an amenable number.

2624000625 is a deficient number, since it is larger than the sum of its proper divisors (2119206844).

2624000625 is an frugal number, since it uses more digits than its factorization.

2624000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 2624000625 is about 1379.2870056620.

Adding to 2624000625 its reverse (5260004262), we get a palindrome (7884004887).

The spelling of 2624000625 in words is "two billion, six hundred twenty-four million, six hundred twenty-five", and thus it is an aban number.