61882035121 has 9 divisors (see below), whose sum is σ = 65740772161. Its totient is φ = 58237935232.

The previous prime is 61882035109. The next prime is 61882035133. The reversal of 61882035121 is 12153028816.

The square root of 61882035121 is 248761.

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

It is an interprime number because it is at equal distance from previous prime (61882035109) and next prime (61882035133).

It can be written as a sum of positive squares in 4 ways, for example, as 10824113521 + 51057921600 = 104039^2 + 225960^2 .

It is not a de Polignac number, because 61882035121 - 2⁹ = 61882034609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61882035191) 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, 4221621 + ... + 4236253.

Almost surely, 2^61882035121 is an apocalyptic number.

61882035121 is the 248761-st square number.

61882035121 is the 124381-st centered octagonal number.

It is an amenable number.

61882035121 is a deficient number, since it is larger than the sum of its proper divisors (3858737040).

61882035121 is an frugal number, since it uses more digits than its factorization.

61882035121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29300 (or 14650 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 61882035121 in words is "sixty-one billion, eight hundred eighty-two million, thirty-five thousand, one hundred twenty-one".