83535450625 has 45 divisors (see below), whose sum is σ = 114847494069. Its totient is φ = 60695250000.

The previous prime is 83535450623. The next prime is 83535450659. The reversal of 83535450625 is 52605453538.

The square root of 83535450625 is 289025.

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

It can be written as a sum of positive squares in 2 ways, for example, as 6549179329 + 76986271296 = 80927^2 + 277464^2 .

It is not a de Polignac number, because 83535450625 - 2¹ = 83535450623 is a prime.

It is a super-2 number, since 2×83535450625² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83535450623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 79481350 + ... + 79482400.

Almost surely, 2^83535450625 is an apocalyptic number.

83535450625 is the 289025-th square number.

83535450625 is the 144513-rd centered octagonal number.

It is an amenable number.

83535450625 is a deficient number, since it is larger than the sum of its proper divisors (31312043444).

83535450625 is an frugal number, since it uses more digits than its factorization.

83535450625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 46.

The spelling of 83535450625 in words is "eighty-three billion, five hundred thirty-five million, four hundred fifty thousand, six hundred twenty-five".