61588845241 has 45 divisors (see below), whose sum is σ = 79077981855. Its totient is φ = 47827515120.

The previous prime is 61588845229. The next prime is 61588845293. The reversal of 61588845241 is 14254888516.

The square root of 61588845241 is 248171.

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., 58271546025 + 3317299216 = 241395^2 + 57596^2 .

It is not a de Polignac number, because 61588845241 - 2⁵ = 61588845209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61588845221) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 210200691 + ... + 210200983.

Almost surely, 2^61588845241 is an apocalyptic number.

61588845241 is the 248171-st square number.

61588845241 is the 124086-th centered octagonal number.

It is an amenable number.

61588845241 is a deficient number, since it is larger than the sum of its proper divisors (17489136614).

61588845241 is an frugal number, since it uses more digits than its factorization.

61588845241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 311 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 52.

The spelling of 61588845241 in words is "sixty-one billion, five hundred eighty-eight million, eight hundred forty-five thousand, two hundred forty-one".