61735850089 has 9 divisors (see below), whose sum is σ = 61988075383. Its totient is φ = 61484649952.

The previous prime is 61735850087. The next prime is 61735850101. The reversal of 61735850089 is 98005853716.

The square root of 61735850089 is 248467.

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., 37960677225 + 23775172864 = 194835^2 + 154192^2 .

It is not a de Polignac number, because 61735850089 - 2¹ = 61735850087 is a prime.

It is a super-2 number, since 2×61735850089² (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 (61735850087) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104107377 + ... + 104107969.

Almost surely, 2^61735850089 is an apocalyptic number.

61735850089 is the 248467-th square number.

61735850089 is the 124234-th centered octagonal number.

It is an amenable number.

61735850089 is a deficient number, since it is larger than the sum of its proper divisors (252225294).

61735850089 is an frugal number, since it uses more digits than its factorization.

61735850089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 61735850089 in words is "sixty-one billion, seven hundred thirty-five million, eight hundred fifty thousand, eighty-nine".