683838033025 has 27 divisors (see below), whose sum is σ = 986443223619. Its totient is φ = 468897661680.

The previous prime is 683838032987. The next prime is 683838033061. The reversal of 683838033025 is 520330838386.

It is a happy number.

The square root of 683838033025 is 826945.

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., 246181691889 + 437656341136 = 496167^2 + 661556^2 .

It is not a de Polignac number, because 683838033025 - 2²⁵ = 683804478593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 683838033025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28931262 + ... + 28954888.

Almost surely, 2^683838033025 is an apocalyptic number.

683838033025 is the 826945-th square number.

683838033025 is the 413473-rd centered octagonal number.

It is an amenable number.

683838033025 is a deficient number, since it is larger than the sum of its proper divisors (302605190594).

683838033025 is an frugal number, since it uses more digits than its factorization.

683838033025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47278 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

Multiplying 683838033025 by its sum of digits (49), we get a square (33508063618225 = 5788615²).

683838033025 divided by its sum of digits (49) gives a square (13955878225 = 118135²).

The spelling of 683838033025 in words is "six hundred eighty-three billion, eight hundred thirty-eight million, thirty-three thousand, twenty-five".