32151973213441 has 9 divisors (see below), whose sum is σ = 32183752426371. Its totient is φ = 32120225366112.

The previous prime is 32151973213421. The next prime is 32151973213457. The reversal of 32151973213441 is 14431237915123.

It is a happy number.

The square root of 32151973213441 is 5670271.

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., 8717699130625 + 23434274082816 = 2952575^2 + 4840896^2 .

It is not a de Polignac number, because 32151973213441 - 2²⁷ = 32151838995713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32151973213391 and 32151973213400.

It is not an unprimeable number, because it can be changed into a prime (32151973213421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7524447481 + ... + 7524451753.

It is an arithmetic number, because the mean of its divisors is an integer number (3575972491819).

Almost surely, 2^{32151973213441} is an apocalyptic number.

32151973213441 is the 5670271-st square number.

32151973213441 is the 2835136-th centered octagonal number.

It is an amenable number.

32151973213441 is a deficient number, since it is larger than the sum of its proper divisors (31779212930).

32151973213441 is an frugal number, since it uses more digits than its factorization.

32151973213441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200 (or 5600 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The spelling of 32151973213441 in words is "thirty-two trillion, one hundred fifty-one billion, nine hundred seventy-three million, two hundred thirteen thousand, four hundred forty-one".