61820658057329 has 2 divisors, whose sum is σ = 61820658057330. Its totient is φ = 61820658057328.

The previous prime is 61820658057259. The next prime is 61820658057341. The reversal of 61820658057329 is 92375085602816.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51063143639104 + 10757514418225 = 7145848^2 + 3279865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61820658057329 is a prime.

It is a super-2 number, since 2×61820658057329² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61820651057329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30910329028664 + 30910329028665.

It is an arithmetic number, because the mean of its divisors is an integer number (30910329028665).

Almost surely, 2^{61820658057329} is an apocalyptic number.

It is an amenable number.

61820658057329 is a deficient number, since it is larger than the sum of its proper divisors (1).

61820658057329 is an equidigital number, since it uses as much as digits as its factorization.

61820658057329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 61820658057329 in words is "sixty-one trillion, eight hundred twenty billion, six hundred fifty-eight million, fifty-seven thousand, three hundred twenty-nine".