24637672413225 has 135 divisors (see below), whose sum is σ = 46301864243349. Its totient is φ = 12951513532800.

The previous prime is 24637672413197. The next prime is 24637672413251. The reversal of 24637672413225 is 52231427673642.

It is a happy number.

The square root of 24637672413225 is 4963635.

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

24637672413225 is a `hidden beast` number, since 2 + 4 + 6 + 3 + 76 + 7 + 241 + 322 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134816011929 + 24502856401296 = 367173^2 + 4950036^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 24637672413225 - 2¹³ = 24637672405033 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16305540220 + ... + 16305541730.

Almost surely, 2^{24637672413225} is an apocalyptic number.

24637672413225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24637672413225 is the 4963635-th square number.

24637672413225 is the 2481818-th centered octagonal number.

It is an amenable number.

24637672413225 is a deficient number, since it is larger than the sum of its proper divisors (21664191830124).

24637672413225 is an frugal number, since it uses more digits than its factorization.

24637672413225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 1592 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 24637672413225 in words is "twenty-four trillion, six hundred thirty-seven billion, six hundred seventy-two million, four hundred thirteen thousand, two hundred twenty-five".