7430083023825 has 162 divisors, whose sum is σ = 17016150533382. Its totient is φ = 3087826156800.

The previous prime is 7430083023749. The next prime is 7430083023827. The reversal of 7430083023825 is 5283203800347.

7430083023825 is a `hidden beast` number, since 7 + 4 + 300 + 8 + 302 + 38 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 731697184449 + 6698385839376 = 855393^2 + 2588124^2 .

It is not a de Polignac number, because 7430083023825 - 2⁸ = 7430083023569 is a prime.

It is a super-2 number, since 2×7430083023825² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7430083023827) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1450812 + ... + 4118861.

Almost surely, 2^{7430083023825} is an apocalyptic number.

7430083023825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7430083023825 is an abundant number, since it is smaller than the sum of its proper divisors (9586067509557).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7430083023825 is a wasteful number, since it uses less digits than its factorization.

7430083023825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569725 (or 5569699 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 7430083023825 in words is "seven trillion, four hundred thirty billion, eighty-three million, twenty-three thousand, eight hundred twenty-five".