61835172401 has 2 divisors, whose sum is σ = 61835172402. Its totient is φ = 61835172400.

The previous prime is 61835172397. The next prime is 61835172409. The reversal of 61835172401 is 10427153816.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47469951376 + 14365221025 = 217876^2 + 119855^2 .

It is a cyclic number.

It is not a de Polignac number, because 61835172401 - 2² = 61835172397 is a prime.

It is a super-2 number, since 2×61835172401² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61835172409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30917586200 + 30917586201.

It is an arithmetic number, because the mean of its divisors is an integer number (30917586201).

Almost surely, 2^61835172401 is an apocalyptic number.

It is an amenable number.

61835172401 is a deficient number, since it is larger than the sum of its proper divisors (1).

61835172401 is an equidigital number, since it uses as much as digits as its factorization.

61835172401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 61835172401 in words is "sixty-one billion, eight hundred thirty-five million, one hundred seventy-two thousand, four hundred one".