75352995025 has 243 divisors, whose sum is σ = 129051355419. Its totient is φ = 43481592000.

The previous prime is 75352995001. The next prime is 75352995049. The reversal of 75352995025 is 52059925357.

The square root of 75352995025 is 274505.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (75352995001) and next prime (75352995049).

It can be written as a sum of positive squares in only one way, i.e., 27127078209 + 48225916816 = 164703^2 + 219604^2 .

It is not a de Polignac number, because 75352995025 - 2⁵ = 75352994993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2430741760 + ... + 2430741790.

Almost surely, 2^75352995025 is an apocalyptic number.

75352995025 is the 274505-th square number.

75352995025 is the 137253-rd centered octagonal number.

It is an amenable number.

75352995025 is a deficient number, since it is larger than the sum of its proper divisors (53698360394).

75352995025 is a wasteful number, since it uses less digits than its factorization.

75352995025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 52.

The spelling of 75352995025 in words is "seventy-five billion, three hundred fifty-two million, nine hundred ninety-five thousand, twenty-five".