4758135129225 has 81 divisors (see below), whose sum is σ = 8808009020967. Its totient is φ = 2455288164000.

The previous prime is 4758135129217. The next prime is 4758135129227. The reversal of 4758135129225 is 5229215318574.

The square root of 4758135129225 is 2181315.

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

4758135129225 is a `hidden beast` number, since 4 + 7 + 5 + 8 + 13 + 512 + 92 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1712928646521 + 3045206482704 = 1308789^2 + 1745052^2 .

It is not a de Polignac number, because 4758135129225 - 2³ = 4758135129217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4758135129227) 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, 1014309130 + ... + 1014313820.

Almost surely, 2^{4758135129225} is an apocalyptic number.

4758135129225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4758135129225 is the 2181315-th square number.

4758135129225 is the 1090658-th centered octagonal number.

It is an amenable number.

4758135129225 is a deficient number, since it is larger than the sum of its proper divisors (4049873891742).

4758135129225 is an frugal number, since it uses more digits than its factorization.

4758135129225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 4730 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 4758135129225 in words is "four trillion, seven hundred fifty-eight billion, one hundred thirty-five million, one hundred twenty-nine thousand, two hundred twenty-five".