61477375782001 has 2 divisors, whose sum is σ = 61477375782002. Its totient is φ = 61477375782000.

The previous prime is 61477375781981. The next prime is 61477375782013. The reversal of 61477375782001 is 10028757377416.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44014997984400 + 17462377797601 = 6634380^2 + 4178801^2 .

It is a cyclic number.

It is not a de Polignac number, because 61477375782001 - 2¹³ = 61477375773809 is a prime.

It is not a weakly prime, because it can be changed into another prime (61477375782071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30738687891000 + 30738687891001.

It is an arithmetic number, because the mean of its divisors is an integer number (30738687891001).

Almost surely, 2^{61477375782001} is an apocalyptic number.

It is an amenable number.

61477375782001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61477375782001 is an equidigital number, since it uses as much as digits as its factorization.

61477375782001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13829760, while the sum is 58.

The spelling of 61477375782001 in words is "sixty-one trillion, four hundred seventy-seven billion, three hundred seventy-five million, seven hundred eighty-two thousand, one".