735321685081 has 15 divisors (see below), whose sum is σ = 769219812543. Its totient is φ = 702917277480.

The previous prime is 735321685079. The next prime is 735321685103. The reversal of 735321685081 is 180586123537.

The square root of 735321685081 is 857509.

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., 565066420681 + 170255264400 = 751709^2 + 412620^2 .

It is not a de Polignac number, because 735321685081 - 2¹ = 735321685079 is a prime.

It is a super-2 number, since 2×735321685081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (735321685051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 453621451 + ... + 453623071.

Almost surely, 2^735321685081 is an apocalyptic number.

735321685081 is the 857509-th square number.

735321685081 is the 428755-th centered octagonal number.

It is an amenable number.

735321685081 is a deficient number, since it is larger than the sum of its proper divisors (33898127462).

735321685081 is an frugal number, since it uses more digits than its factorization.

735321685081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 735321685081 by its sum of digits (49), we get a square (36030762568969 = 6002563²).

The spelling of 735321685081 in words is "seven hundred thirty-five billion, three hundred twenty-one million, six hundred eighty-five thousand, eighty-one".