2629125625 has 45 divisors (see below), whose sum is σ = 3834827931. Its totient is φ = 1796676000.

The previous prime is 2629125619. The next prime is 2629125637. The reversal of 2629125625 is 5265219262.

The square root of 2629125625 is 51275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 644601321 + 1984524304 = 25389^2 + 44548^2 .

It is not a de Polignac number, because 2629125625 - 2³ = 2629125617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8972979 + ... + 8973271.

Almost surely, 2^2629125625 is an apocalyptic number.

2629125625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2629125625 is the 51275-th square number.

2629125625 is the 25638-th centered octagonal number.

It is an amenable number.

2629125625 is a deficient number, since it is larger than the sum of its proper divisors (1205702306).

2629125625 is an frugal number, since it uses more digits than its factorization.

2629125625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 305 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The cubic root of 2629125625 is about 1380.1843947749.

Multiplying 2629125625 by its product of digits (129600), we get a square (340734681000000 = 18459000²).

The spelling of 2629125625 in words is "two billion, six hundred twenty-nine million, one hundred twenty-five thousand, six hundred twenty-five".