950233090401 has 45 divisors (see below), whose sum is σ = 1651343213091. Its totient is φ = 542955244608.

The previous prime is 950233090361. The next prime is 950233090427. The reversal of 950233090401 is 104090332059.

It is a happy number.

The square root of 950233090401 is 974799.

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., 402076469025 + 548156621376 = 634095^2 + 740376^2 .

It is not a de Polignac number, because 950233090401 - 2⁷ = 950233090273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (950233090441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 61404601 + ... + 61420073.

Almost surely, 2^950233090401 is an apocalyptic number.

950233090401 is the 974799-th square number.

950233090401 is the 487400-th centered octagonal number.

It is an amenable number.

950233090401 is a deficient number, since it is larger than the sum of its proper divisors (701110122690).

950233090401 is an frugal number, since it uses more digits than its factorization.

950233090401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30972 (or 15483 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 950233090401 by its sum of digits (36), we get a square (34208391254436 = 5848794²).

The spelling of 950233090401 in words is "nine hundred fifty billion, two hundred thirty-three million, ninety thousand, four hundred one".