2456689225 has 27 divisors (see below), whose sum is σ = 3191906599. Its totient is φ = 1875539600.

The previous prime is 2456689199. The next prime is 2456689229. The reversal of 2456689225 is 5229866542.

The square root of 2456689225 is 49565.

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., 884408121 + 1572281104 = 29739^2 + 39652^2 .

It is not a de Polignac number, because 2456689225 - 2¹⁵ = 2456656457 is a prime.

It is a super-2 number, since 2×2456689225² = 12070643896462201250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2456689229) 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, 5699760 + ... + 5700190.

Almost surely, 2^2456689225 is an apocalyptic number.

2456689225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2456689225 is the 49565-th square number.

2456689225 is the 24783-rd centered octagonal number.

It is an amenable number.

2456689225 is a deficient number, since it is larger than the sum of its proper divisors (735217374).

2456689225 is an frugal number, since it uses more digits than its factorization.

2456689225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 459 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

The cubic root of 2456689225 is about 1349.3255387233.

Multiplying 2456689225 by its sum of digits (49), we get a square (120377772025 = 346955²).

The spelling of 2456689225 in words is "two billion, four hundred fifty-six million, six hundred eighty-nine thousand, two hundred twenty-five".