24738571225 has 27 divisors (see below), whose sum is σ = 31132011423. Its totient is φ = 19500823440.

The previous prime is 24738571181. The next prime is 24738571243. The reversal of 24738571225 is 52217583742.

The square root of 24738571225 is 157285.

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., 8905885641 + 15832685584 = 94371^2 + 125828^2 .

It is not a de Polignac number, because 24738571225 - 2¹⁵ = 24738538457 is a prime.

It is a super-2 number, since 2×24738571225² (a number of 22 digits) contains 22 as substring.

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, 65273086 + ... + 65273464.

Almost surely, 2^24738571225 is an apocalyptic number.

24738571225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24738571225 is the 157285-th square number.

24738571225 is the 78643-rd centered octagonal number.

It is an amenable number.

24738571225 is a deficient number, since it is larger than the sum of its proper divisors (6393440198).

24738571225 is an frugal number, since it uses more digits than its factorization.

24738571225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its digits is 940800, while the sum is 46.

The spelling of 24738571225 in words is "twenty-four billion, seven hundred thirty-eight million, five hundred seventy-one thousand, two hundred twenty-five".