39274273752561 has 9 divisors (see below), whose sum is σ = 56729533688139. Its totient is φ = 26182836634536.

The previous prime is 39274273752559. The next prime is 39274273752563. The reversal of 39274273752561 is 16525737247293.

The square root of 39274273752561 is 6266919.

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

39274273752561 is a `hidden beast` number, since 3 + 9 + 2 + 7 + 4 + 2 + 7 + 375 + 256 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (39274273752559) and next prime (39274273752563).

It can be written as a sum of positive squares in only one way, i.e., 38770236230625 + 504037521936 = 6226575^2 + 709956^2 .

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

It is not a de Polignac number, because 39274273752561 - 2¹ = 39274273752559 is a prime.

It is a super-2 number, since 2×39274273752561² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39274273752563) 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, 17756271 + ... + 19845243.

Almost surely, 2^{39274273752561} is an apocalyptic number.

39274273752561 is the 6266919-th square number.

39274273752561 is the 3133460-th centered octagonal number.

It is an amenable number.

39274273752561 is a deficient number, since it is larger than the sum of its proper divisors (17455259935578).

39274273752561 is an frugal number, since it uses more digits than its factorization.

39274273752561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177952 (or 2088976 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 39274273752561 in words is "thirty-nine trillion, two hundred seventy-four billion, two hundred seventy-three million, seven hundred fifty-two thousand, five hundred sixty-one".