75429876025 has 135 divisors (see below), whose sum is σ = 117145525551. Its totient is φ = 48170535840.

The previous prime is 75429875921. The next prime is 75429876059. The reversal of 75429876025 is 52067892457.

The square root of 75429876025 is 274645.

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., 27154755369 + 48275120656 = 164787^2 + 219716^2 .

It is not a de Polignac number, because 75429876025 - 2¹⁹ = 75429351737 is a prime.

It is a super-3 number, since 3×75429876025³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1278472446 + ... + 1278472504.

Almost surely, 2^75429876025 is an apocalyptic number.

75429876025 is the 274645-th square number.

75429876025 is the 137323-rd centered octagonal number.

It is an amenable number.

75429876025 is a deficient number, since it is larger than the sum of its proper divisors (41715649526).

75429876025 is an frugal number, since it uses more digits than its factorization.

75429876025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 75429876025 in words is "seventy-five billion, four hundred twenty-nine million, eight hundred seventy-six thousand, twenty-five".