955508205001 has 15 divisors (see below), whose sum is σ = 1114749125351. Its totient is φ = 818965977816.

The previous prime is 955508204933. The next prime is 955508205049. The reversal of 955508205001 is 100502805559.

The square root of 955508205001 is 977501.

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., 101473465401 + 854034739600 = 318549^2 + 924140^2 .

It is not a de Polignac number, because 955508205001 - 2⁹ = 955508204489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (955508205101) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 47887575 + ... + 47907523.

Almost surely, 2^955508205001 is an apocalyptic number.

955508205001 is the 977501-st square number.

955508205001 is the 488751-st centered octagonal number.

It is an amenable number.

955508205001 is a deficient number, since it is larger than the sum of its proper divisors (159240920350).

955508205001 is an frugal number, since it uses more digits than its factorization.

955508205001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39926 (or 19956 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 40.

The spelling of 955508205001 in words is "nine hundred fifty-five billion, five hundred eight million, two hundred five thousand, one".