61774617025 has 27 divisors (see below), whose sum is σ = 84215907363. Its totient is φ = 44917052400.

The previous prime is 61774617007. The next prime is 61774617029. The reversal of 61774617025 is 52071647716.

The square root of 61774617025 is 248545.

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., 22238862129 + 39535754896 = 149127^2 + 198836^2 .

It is not a de Polignac number, because 61774617025 - 2⁵ = 61774616993 is a prime.

It is a super-2 number, since 2×61774617025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61774617029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13667716 + ... + 13672234.

Almost surely, 2^61774617025 is an apocalyptic number.

61774617025 is the 248545-th square number.

61774617025 is the 124273-rd centered octagonal number.

It is an amenable number.

61774617025 is a deficient number, since it is larger than the sum of its proper divisors (22441290338).

61774617025 is an frugal number, since it uses more digits than its factorization.

61774617025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 61774617025 in words is "sixty-one billion, seven hundred seventy-four million, six hundred seventeen thousand, twenty-five".