61639535677225 has 135 divisors (see below), whose sum is σ = 88863851779815. Its totient is φ = 42407164562400.

The previous prime is 61639535677207. The next prime is 61639535677253. The reversal of 61639535677225 is 52277653593616.

The square root of 61639535677225 is 7851085.

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., 22190232843801 + 39449302833424 = 4710651^2 + 6280868^2 .

It is not a de Polignac number, because 61639535677225 - 2⁴¹ = 59440512421673 is a prime.

Its product of digits (428652000) is a multiple of the sum of its prime factors (1458).

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, 90248221734 + ... + 90248222416.

Almost surely, 2^{61639535677225} is an apocalyptic number.

61639535677225 is the 7851085-th square number.

61639535677225 is the 3925543-rd centered octagonal number.

It is an amenable number.

61639535677225 is a deficient number, since it is larger than the sum of its proper divisors (27224316102590).

61639535677225 is an frugal number, since it uses more digits than its factorization.

61639535677225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 718 counting only the distinct ones).

The product of its digits is 428652000, while the sum is 67.

The spelling of 61639535677225 in words is "sixty-one trillion, six hundred thirty-nine billion, five hundred thirty-five million, six hundred seventy-seven thousand, two hundred twenty-five".