33232925401 has 27 divisors (see below), whose sum is σ = 37082671101. Its totient is φ = 29768697504.

The previous prime is 33232925399. The next prime is 33232925413. The reversal of 33232925401 is 10452923233.

The square root of 33232925401 is 182299.

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 138039001 + 33094886400 = 11749^2 + 181920^2 .

It is not a de Polignac number, because 33232925401 - 2¹ = 33232925399 is a prime.

It is a super-2 number, since 2×33232925401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33232925431) 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, 87685630 + ... + 87686008.

It is an arithmetic number, because the mean of its divisors is an integer number (1373432263).

Almost surely, 2^33232925401 is an apocalyptic number.

33232925401 is the 182299-th square number.

33232925401 is the 91150-th centered octagonal number.

It is an amenable number.

33232925401 is a deficient number, since it is larger than the sum of its proper divisors (3849745700).

33232925401 is an frugal number, since it uses more digits than its factorization.

33232925401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 33232925401 in words is "thirty-three billion, two hundred thirty-two million, nine hundred twenty-five thousand, four hundred one".