52234645401 has 81 divisors (see below), whose sum is σ = 81457560093. Its totient is φ = 32252834880.

The previous prime is 52234645373. The next prime is 52234645409. The reversal of 52234645401 is 10454643225.

The square root of 52234645401 is 228549.

It is a perfect power (a square), and thus also a powerful number.

52234645401 is a `hidden beast` number, since 5 + 2 + 2 + 3 + 4 + 645 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11116539225 + 41118106176 = 105435^2 + 202776^2 .

It is not a de Polignac number, because 52234645401 - 2⁵ = 52234645369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52234645409) 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, 735699196 + ... + 735699266.

Almost surely, 2^52234645401 is an apocalyptic number.

52234645401 is the 228549-th square number.

52234645401 is the 114275-th centered octagonal number.

It is an amenable number.

52234645401 is a deficient number, since it is larger than the sum of its proper divisors (29222914692).

52234645401 is an equidigital number, since it uses as much as digits as its factorization.

52234645401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 52234645401 by its sum of digits (36), we get a square (1880447234436 = 1371294²).

The spelling of 52234645401 in words is "fifty-two billion, two hundred thirty-four million, six hundred forty-five thousand, four hundred one".