24010147000225 has 81 divisors (see below), whose sum is σ = 31171165903467. Its totient is φ = 18345656160000.

The previous prime is 24010147000223. The next prime is 24010147000309. The reversal of 24010147000225 is 52200074101042.

24010147000225 = 1³ + 2³ + ... + 3130³.

The square root of 24010147000225 is 4900015.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17996744454049 + 6013402546176 = 4242257^2 + 2452224^2 .

It is not a de Polignac number, because 24010147000225 - 2¹ = 24010147000223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 24010147000193 and 24010147000202.

It is not an unprimeable number, because it can be changed into a prime (24010147000223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 76709734669 + ... + 76709734981.

Almost surely, 2^{24010147000225} is an apocalyptic number.

24010147000225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24010147000225 is the 4900015-th square number.

24010147000225 is the 2450008-th centered octagonal number.

It is an amenable number.

24010147000225 is a deficient number, since it is larger than the sum of its proper divisors (7161018903242).

24010147000225 is an frugal number, since it uses more digits than its factorization.

24010147000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 24010147000225 in words is "twenty-four trillion, ten billion, one hundred forty-seven million, two hundred twenty-five", and thus it is an aban number.