56752100493201 has 9 divisors (see below), whose sum is σ = 81975288912699. Its totient is φ = 37834718595336.

The previous prime is 56752100493157. The next prime is 56752100493259. The reversal of 56752100493201 is 10239400125765.

The square root of 56752100493201 is 7533399.

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

56752100493201 is a `hidden beast` number, since 5 + 6 + 7 + 52 + 100 + 493 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50490475092225 + 6261625400976 = 7105665^2 + 2502324^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 56752100493201 - 2³¹ = 56749953009553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56752100493901) 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, 21344631 + ... + 23855763.

Almost surely, 2^{56752100493201} is an apocalyptic number.

56752100493201 is the 7533399-th square number.

56752100493201 is the 3766700-th centered octagonal number.

It is an amenable number.

56752100493201 is a deficient number, since it is larger than the sum of its proper divisors (25223188419498).

56752100493201 is an frugal number, since it uses more digits than its factorization.

56752100493201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022272 (or 2511136 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56752100493201 in words is "fifty-six trillion, seven hundred fifty-two billion, one hundred million, four hundred ninety-three thousand, two hundred one".