61386519852025 has 27 divisors (see below), whose sum is σ = 76269146514381. Its totient is φ = 49012720575840.

The previous prime is 61386519852013. The next prime is 61386519852083. The reversal of 61386519852025 is 52025891568316.

The square root of 61386519852025 is 7834955.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9300968963001 + 52085550889024 = 3049749^2 + 7217032^2 .

It is not a de Polignac number, because 61386519852025 - 2⁷ = 61386519851897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25189379107 + ... + 25189381543.

Almost surely, 2^{61386519852025} is an apocalyptic number.

61386519852025 is the 7834955-th square number.

61386519852025 is the 3917478-th centered octagonal number.

It is an amenable number.

61386519852025 is a deficient number, since it is larger than the sum of its proper divisors (14882626662356).

61386519852025 is an frugal number, since it uses more digits than its factorization.

61386519852025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 61.

The spelling of 61386519852025 in words is "sixty-one trillion, three hundred eighty-six billion, five hundred nineteen million, eight hundred fifty-two thousand, twenty-five".