27975753002521 has 9 divisors (see below), whose sum is σ = 28000629099711. Its totient is φ = 27950899000032.

The previous prime is 27975753002507. The next prime is 27975753002569. The reversal of 27975753002521 is 12520035757972.

The square root of 27975753002521 is 5289211.

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., 10982098905625 + 16993654096896 = 3313925^2 + 4122336^2 .

It is not a de Polignac number, because 27975753002521 - 2²⁷ = 27975618784793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27975753002581) 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, 9874955521 + ... + 9874958353.

It is an arithmetic number, because the mean of its divisors is an integer number (3111181011079).

Almost surely, 2^{27975753002521} is an apocalyptic number.

27975753002521 is the 5289211-st square number.

27975753002521 is the 2644606-th centered octagonal number.

It is an amenable number.

27975753002521 is a deficient number, since it is larger than the sum of its proper divisors (24876097190).

27975753002521 is an frugal number, since it uses more digits than its factorization.

27975753002521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 55.

The spelling of 27975753002521 in words is "twenty-seven trillion, nine hundred seventy-five billion, seven hundred fifty-three million, two thousand, five hundred twenty-one".