61250805121 has 27 divisors (see below), whose sum is σ = 68231992899. Its totient is φ = 54942558000.

The previous prime is 61250805089. The next prime is 61250805127. The reversal of 61250805121 is 12150805216.

The square root of 61250805121 is 247489.

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., 7175953521 + 54074851600 = 84711^2 + 232540^2 .

It is not a de Polignac number, because 61250805121 - 2⁵ = 61250805089 is a prime.

It is a super-2 number, since 2×61250805121² (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 (61250805127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 405634396 + ... + 405634546.

Almost surely, 2^61250805121 is an apocalyptic number.

61250805121 is the 247489-th square number.

61250805121 is the 123745-th centered octagonal number.

It is an amenable number.

61250805121 is a deficient number, since it is larger than the sum of its proper divisors (6981187778).

61250805121 is an equidigital number, since it uses as much as digits as its factorization.

61250805121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 61250805121 in words is "sixty-one billion, two hundred fifty million, eight hundred five thousand, one hundred twenty-one".