35439945025 has 27 divisors (see below), whose sum is σ = 45967360201. Its totient is φ = 27102695840.

The previous prime is 35439945019. The next prime is 35439945043. The reversal of 35439945025 is 52054993453.

It is a happy number.

The square root of 35439945025 is 188255.

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 16547992321 + 18891952704 = 128639^2 + 137448^2 .

It is not a de Polignac number, because 35439945025 - 2³ = 35439945017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35439945025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21648507 + ... + 21650143.

Almost surely, 2^35439945025 is an apocalyptic number.

35439945025 is the 188255-th square number.

35439945025 is the 94128-th centered octagonal number.

It is an amenable number.

35439945025 is a deficient number, since it is larger than the sum of its proper divisors (10527415176).

35439945025 is an frugal number, since it uses more digits than its factorization.

35439945025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 49.

Multiplying 35439945025 by its sum of digits (49), we get a square (1736557306225 = 1317785²).

It can be divided in two parts, 354399 and 45025, that added together give a square (399424 = 632²).

The spelling of 35439945025 in words is "thirty-five billion, four hundred thirty-nine million, nine hundred forty-five thousand, twenty-five".