6935829825 has 72 divisors (see below), whose sum is σ = 12215030688. Its totient is φ = 3471874560.

The previous prime is 6935829811. The next prime is 6935829827. The reversal of 6935829825 is 5289285396.

It is not a de Polignac number, because 6935829825 - 2⁵ = 6935829793 is a prime.

It is a super-2 number, since 2×6935829825² = 96211470722719061250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (6935829827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3058342 + ... + 3060608.

It is an arithmetic number, because the mean of its divisors is an integer number (169653204).

Almost surely, 2^6935829825 is an apocalyptic number.

It is an amenable number.

6935829825 is a deficient number, since it is larger than the sum of its proper divisors (5279200863).

6935829825 is a wasteful number, since it uses less digits than its factorization.

6935829825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2407 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The square root of 6935829825 is about 83281.6295769962. The cubic root of 6935829825 is about 1907.0678422790.

The spelling of 6935829825 in words is "six billion, nine hundred thirty-five million, eight hundred twenty-nine thousand, eight hundred twenty-five".