2624351400225 has 27 divisors (see below), whose sum is σ = 4700548476403. Its totient is φ = 1399641120240.

The previous prime is 2624351400191. The next prime is 2624351400241. The reversal of 2624351400225 is 5220041534262.

The square root of 2624351400225 is 1619985.

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

2624351400225 is a `hidden beast` number, since 2 + 6 + 24 + 3 + 5 + 1 + 400 + 225 = 666.

2624351400225 is digitally balanced in base 3, 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 only one way, i.e., 944766504081 + 1679584896144 = 971991^2 + 1295988^2 .

It is not a de Polignac number, because 2624351400225 - 2²⁹ = 2623814529313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2624351400225.

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, 24245776 + ... + 24353774.

Almost surely, 2^{2624351400225} is an apocalyptic number.

2624351400225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2624351400225 is the 1619985-th square number.

2624351400225 is the 809993-rd centered octagonal number.

It is an amenable number.

2624351400225 is a deficient number, since it is larger than the sum of its proper divisors (2076197076178).

2624351400225 is an frugal number, since it uses more digits than its factorization.

2624351400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216014 (or 108007 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 2624351400225 by its sum of digits (36), we get a square (94476650408100 = 9719910²).

Adding to 2624351400225 its reverse (5220041534262), we get a palindrome (7844392934487).

The spelling of 2624351400225 in words is "two trillion, six hundred twenty-four billion, three hundred fifty-one million, four hundred thousand, two hundred twenty-five".