24785779225 has 45 divisors (see below), whose sum is σ = 33021206603. Its totient is φ = 18453900960.

The previous prime is 24785779181. The next prime is 24785779229. The reversal of 24785779225 is 52297758742.

The square root of 24785779225 is 157435.

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 7241481 + 24778537744 = 2691^2 + 157412^2 .

It is not a de Polignac number, because 24785779225 - 2¹³ = 24785771033 is a prime.

It is a super-2 number, since 2×24785779225² (a number of 22 digits) contains 22 as substring.

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 24785779225.

It is not an unprimeable number, because it can be changed into a prime (24785779229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 669885907 + ... + 669885943.

Almost surely, 2^24785779225 is an apocalyptic number.

24785779225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24785779225 is the 157435-th square number.

24785779225 is the 78718-th centered octagonal number.

It is an amenable number.

24785779225 is a deficient number, since it is larger than the sum of its proper divisors (8235427378).

24785779225 is an frugal number, since it uses more digits than its factorization.

24785779225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 65 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 58.

The spelling of 24785779225 in words is "twenty-four billion, seven hundred eighty-five million, seven hundred seventy-nine thousand, two hundred twenty-five".