75515589601 has 9 divisors (see below), whose sum is σ = 76329069561. Its totient is φ = 74710697472.

The previous prime is 75515589559. The next prime is 75515589719. The reversal of 75515589601 is 10698551557.

The square root of 75515589601 is 274801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1901047201 + 73614542400 = 43601^2 + 271320^2 .

It is not a de Polignac number, because 75515589601 - 2¹⁹ = 75515065313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75515589001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26654281 + ... + 26657113.

It is an arithmetic number, because the mean of its divisors is an integer number (8481007729).

Almost surely, 2^75515589601 is an apocalyptic number.

75515589601 is the 274801-st square number.

75515589601 is the 137401-st centered octagonal number.

It is an amenable number.

75515589601 is a deficient number, since it is larger than the sum of its proper divisors (813479960).

75515589601 is an frugal number, since it uses more digits than its factorization.

75515589601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 52.

The spelling of 75515589601 in words is "seventy-five billion, five hundred fifteen million, five hundred eighty-nine thousand, six hundred one".