2628565051225 has 27 divisors (see below), whose sum is σ = 3306698620671. Its totient is φ = 2072780446800.

The previous prime is 2628565051219. The next prime is 2628565051237. The reversal of 2628565051225 is 5221505658262.

The square root of 2628565051225 is 1621285.

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

It can be written as a sum of positive squares in only one way, i.e., 946283418441 + 1682281632784 = 972771^2 + 1297028^2 .

It is not a de Polignac number, because 2628565051225 - 2³¹ = 2626417567577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 575553892 + ... + 575558458.

Almost surely, 2^{2628565051225} is an apocalyptic number.

2628565051225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2628565051225 is the 1621285-th square number.

2628565051225 is the 810643-rd centered octagonal number.

It is an amenable number.

2628565051225 is a deficient number, since it is larger than the sum of its proper divisors (678133569446).

2628565051225 is an frugal number, since it uses more digits than its factorization.

2628565051225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 49.

Multiplying 2628565051225 by its sum of digits (49), we get a square (128799687510025 = 11348995²).

The spelling of 2628565051225 in words is "two trillion, six hundred twenty-eight billion, five hundred sixty-five million, fifty-one thousand, two hundred twenty-five".