62607546225 has 81 divisors (see below), whose sum is σ = 130499927883. Its totient is φ = 28608582240.

The previous prime is 62607546217. The next prime is 62607546227. The reversal of 62607546225 is 52264570626.

The square root of 62607546225 is 250215.

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

62607546225 is a `hidden beast` number, since 62 + 60 + 75 + 462 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22538716641 + 40068829584 = 150129^2 + 200172^2 .

It is not a de Polignac number, because 62607546225 - 2³ = 62607546217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (62607546227) 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, 26271384 + ... + 26273766.

Almost surely, 2^62607546225 is an apocalyptic number.

62607546225 is the 250215-th square number.

62607546225 is the 125108-th centered octagonal number.

It is an amenable number.

62607546225 is an abundant number, since it is smaller than the sum of its proper divisors (67892381658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

62607546225 is an equidigital number, since it uses as much as digits as its factorization.

62607546225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 62607546225 in words is "sixty-two billion, six hundred seven million, five hundred forty-six thousand, two hundred twenty-five".