75625550001 has 27 divisors (see below), whose sum is σ = 112912531563. Its totient is φ = 48774177360.

The previous prime is 75625549999. The next prime is 75625550017. The reversal of 75625550001 is 10005552657.

It is a happy number.

The square root of 75625550001 is 275001.

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., 14060030625 + 61565519376 = 118575^2 + 248124^2 .

It is not a de Polignac number, because 75625550001 - 2¹ = 75625549999 is a prime.

It is a super-2 number, since 2×75625550001² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75625550041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25573615 + ... + 25576571.

Almost surely, 2^75625550001 is an apocalyptic number.

75625550001 is the 275001-st square number.

75625550001 is the 137501-st centered octagonal number.

It is an amenable number.

75625550001 is a deficient number, since it is larger than the sum of its proper divisors (37286981562).

75625550001 is an frugal number, since it uses more digits than its factorization.

75625550001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

Multiplying 75625550001 by its sum of digits (36), we get a square (2722519800036 = 1650006²).

The spelling of 75625550001 in words is "seventy-five billion, six hundred twenty-five million, five hundred fifty thousand, one".