61749765025 has 27 divisors (see below), whose sum is σ = 82934454969. Its totient is φ = 45587898720.

The previous prime is 61749765013. The next prime is 61749765031. The reversal of 61749765025 is 52056794716.

The square root of 61749765025 is 248495.

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 15916093281 + 45833671744 = 126159^2 + 214088^2 .

It is not a de Polignac number, because 61749765025 - 2¹³ = 61749756833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16150264 + ... + 16154086.

Almost surely, 2^61749765025 is an apocalyptic number.

61749765025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61749765025 is the 248495-th square number.

61749765025 is the 124248-th centered octagonal number.

It is an amenable number.

61749765025 is a deficient number, since it is larger than the sum of its proper divisors (21184689944).

61749765025 is an frugal number, since it uses more digits than its factorization.

61749765025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 61749765025 in words is "sixty-one billion, seven hundred forty-nine million, seven hundred sixty-five thousand, twenty-five".