39255100641 has 27 divisors (see below), whose sum is σ = 57154414707. Its totient is φ = 25962824160.

The previous prime is 39255100607. The next prime is 39255100657. The reversal of 39255100641 is 14600155293.

The square root of 39255100641 is 198129.

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

39255100641 is a `hidden beast` number, since 3 + 9 + 2 + 5 + 5 + 1 + 0 + 0 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 250430625 + 39004670016 = 15825^2 + 197496^2 .

It is not a de Polignac number, because 39255100641 - 2¹³ = 39255092449 is a prime.

It is a super-2 number, since 2×39255100641² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39255100596 and 39255100605.

It is not an unprimeable number, because it can be changed into a prime (39255107641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125415501 + ... + 125415813.

Almost surely, 2^39255100641 is an apocalyptic number.

39255100641 is the 198129-th square number.

39255100641 is the 99065-th centered octagonal number.

It is an amenable number.

39255100641 is a deficient number, since it is larger than the sum of its proper divisors (17899314066).

39255100641 is an frugal number, since it uses more digits than its factorization.

39255100641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 39255100641 by its sum of digits (36), we get a square (1413183623076 = 1188774²).

The spelling of 39255100641 in words is "thirty-nine billion, two hundred fifty-five million, one hundred thousand, six hundred forty-one".