2451735225 has 27 divisors (see below), whose sum is σ = 4392660909. Its totient is φ = 1307196000.

The previous prime is 2451735199. The next prime is 2451735229. The reversal of 2451735225 is 5225371542.

The square root of 2451735225 is 49515.

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

It can be written as a sum of positive squares in 4 ways, for example, as 473976441 + 1977758784 = 21771^2 + 44472^2 .

It is not a de Polignac number, because 2451735225 - 2⁵ = 2451735193 is a prime.

It is a super-2 number, since 2×2451735225² = 12022011227011601250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2451735225.

It is not an unprimeable number, because it can be changed into a prime (2451735229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 741075 + ... + 744375.

Almost surely, 2^2451735225 is an apocalyptic number.

2451735225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2451735225 is the 49515-th square number.

2451735225 is the 24758-th centered octagonal number.

It is an amenable number.

2451735225 is a deficient number, since it is larger than the sum of its proper divisors (1940925684).

2451735225 is an frugal number, since it uses more digits than its factorization.

2451735225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618 (or 3309 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The cubic root of 2451735225 is about 1348.4179409549.

Multiplying 2451735225 by its sum of digits (36), we get a square (88262468100 = 297090²).

The spelling of 2451735225 in words is "two billion, four hundred fifty-one million, seven hundred thirty-five thousand, two hundred twenty-five".