955308805201 has 27 divisors (see below), whose sum is σ = 1013100021009. Its totient is φ = 900770918400.

The previous prime is 955308805153. The next prime is 955308805211. The reversal of 955308805201 is 102508803559.

The square root of 955308805201 is 977399.

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 371857259601 + 583451545600 = 609801^2 + 763840^2 .

It is not a de Polignac number, because 955308805201 - 2¹⁵ = 955308772433 is a prime.

It is a super-2 number, since 2×955308805201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (955308805211) 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, 1242273745 + ... + 1242274513.

Almost surely, 2^955308805201 is an apocalyptic number.

955308805201 is the 977399-th square number.

955308805201 is the 488700-th centered octagonal number.

It is an amenable number.

955308805201 is a deficient number, since it is larger than the sum of its proper divisors (57791215808).

955308805201 is an frugal number, since it uses more digits than its factorization.

955308805201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 955308805201 in words is "nine hundred fifty-five billion, three hundred eight million, eight hundred five thousand, two hundred one".