83458292073601 has 27 divisors (see below), whose sum is σ = 87327669072553. Its totient is φ = 79757014450400.

The previous prime is 83458292073571. The next prime is 83458292073617. The reversal of 83458292073601 is 10637029285438.

It is a happy number.

The square root of 83458292073601 is 9135551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27424084713601 + 56034207360000 = 5236801^2 + 7485600^2 .

It is not a de Polignac number, because 83458292073601 - 2³¹ = 83456144589953 is a prime.

It is a super-2 number, since 2×83458292073601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83458292074601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26758027320 + ... + 26758030438.

It is a 1-persistent number, because it is pandigital, but 2⋅83458292073601 = 166916584147202 is not.

Almost surely, 2^{83458292073601} is an apocalyptic number.

83458292073601 is the 9135551-st square number.

83458292073601 is the 4567776-th centered octagonal number.

It is an amenable number.

83458292073601 is a deficient number, since it is larger than the sum of its proper divisors (3869376998952).

83458292073601 is an frugal number, since it uses more digits than its factorization.

83458292073601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 83458292073601 in words is "eighty-three trillion, four hundred fifty-eight billion, two hundred ninety-two million, seventy-three thousand, six hundred one".