952226624041 has 243 divisors, whose sum is σ = 1391216624343. Its totient is φ = 649194194880.

The previous prime is 952226624029. The next prime is 952226624071. The reversal of 952226624041 is 140426622259.

The square root of 952226624041 is 975821.

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., 499324543641 + 452902080400 = 706629^2 + 672980^2 .

It is not a de Polignac number, because 952226624041 - 2⁵ = 952226624009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (952226624071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 32835400815 + ... + 32835400843.

Almost surely, 2^952226624041 is an apocalyptic number.

952226624041 is the 975821-st square number.

952226624041 is the 487911-st centered octagonal number.

It is an amenable number.

952226624041 is a deficient number, since it is larger than the sum of its proper divisors (438990000302).

952226624041 is a wasteful number, since it uses less digits than its factorization.

952226624041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 952226624041 in words is "nine hundred fifty-two billion, two hundred twenty-six million, six hundred twenty-four thousand, forty-one".