952554528121 has 27 divisors (see below), whose sum is σ = 1125399686607. Its totient is φ = 803902619520.

The previous prime is 952554528091. The next prime is 952554528137. The reversal of 952554528121 is 121825455259.

The square root of 952554528121 is 975989.

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., 360947422521 + 591607105600 = 600789^2 + 769160^2 .

It is not a de Polignac number, because 952554528121 - 2¹⁷ = 952554397049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (952554528161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 457737801 + ... + 457739881.

Almost surely, 2^952554528121 is an apocalyptic number.

952554528121 is the 975989-th square number.

952554528121 is the 487995-th centered octagonal number.

It is an amenable number.

952554528121 is a deficient number, since it is larger than the sum of its proper divisors (172845158486).

952554528121 is an frugal number, since it uses more digits than its factorization.

952554528121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 2155 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 49.

Multiplying 952554528121 by its sum of digits (49), we get a square (46675171877929 = 6831923²).

952554528121 divided by its sum of digits (49) gives a square (19439888329 = 139427²).

The spelling of 952554528121 in words is "nine hundred fifty-two billion, five hundred fifty-four million, five hundred twenty-eight thousand, one hundred twenty-one".