352228402527001 has 81 divisors (see below), whose sum is σ = 487704731268573. Its totient is φ = 253337585941440.

The previous prime is 352228402526899. The next prime is 352228402527049. The reversal of 352228402527001 is 100725204822253.

The square root of 352228402527001 is 18767749.

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 20572438419225 + 331655964107776 = 4535685^2 + 18211424^2 .

It is not a de Polignac number, because 352228402527001 - 2⁹ = 352228402526489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (352228402527091) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18786507375 + ... + 18786526123.

Almost surely, 2^{352228402527001} is an apocalyptic number.

352228402527001 is the 18767749-th square number.

352228402527001 is the 9383875-th centered octagonal number.

It is an amenable number.

352228402527001 is a deficient number, since it is larger than the sum of its proper divisors (135476328741572).

352228402527001 is an frugal number, since it uses more digits than its factorization.

352228402527001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37560 (or 18780 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 352228402527001 in words is "three hundred fifty-two trillion, two hundred twenty-eight billion, four hundred two million, five hundred twenty-seven thousand, one".