75517577307225 has 243 divisors, whose sum is σ = 144086678547903. Its totient is φ = 39260552657760.

The previous prime is 75517577307199. The next prime is 75517577307241. The reversal of 75517577307225 is 52270377571557.

The square root of 75517577307225 is 8690085.

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

75517577307225 is a `hidden beast` number, since 7 + 5 + 5 + 1 + 7 + 577 + 30 + 7 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27186327830601 + 48331249476624 = 5214051^2 + 6952068^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 75517577307225 - 2¹³ = 75517577299033 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, 151337830026 + ... + 151337830524.

Almost surely, 2^{75517577307225} is an apocalyptic number.

75517577307225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75517577307225 is the 8690085-th square number.

75517577307225 is the 4345043-rd centered octagonal number.

It is an amenable number.

75517577307225 is a deficient number, since it is larger than the sum of its proper divisors (68569101240678).

75517577307225 is an frugal number, since it uses more digits than its factorization.

75517577307225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 126052500, while the sum is 63.

The spelling of 75517577307225 in words is "seventy-five trillion, five hundred seventeen billion, five hundred seventy-seven million, three hundred seven thousand, two hundred twenty-five".