6541257195 has 256 divisors, whose sum is σ = 14183424000. Its totient is φ = 2823413760.

The previous prime is 6541257143. The next prime is 6541257241. The reversal of 6541257195 is 5917521456.

It is a happy number.

6541257195 is a `hidden beast` number, since 65 + 4 + 12 + 571 + 9 + 5 = 666.

It is not a de Polignac number, because 6541257195 - 2⁶ = 6541257131 is a prime.

It is a super-2 number, since 2×6541257195² = 85576091382278536050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 6541257195.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43900981 + ... + 43901129.

It is an arithmetic number, because the mean of its divisors is an integer number (55404000).

Almost surely, 2^6541257195 is an apocalyptic number.

6541257195 is an abundant number, since it is smaller than the sum of its proper divisors (7642166805).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6541257195 is a wasteful number, since it uses less digits than its factorization.

6541257195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 6541257195 is about 80878.0390155449. The cubic root of 6541257195 is about 1870.1957905515.

The spelling of 6541257195 in words is "six billion, five hundred forty-one million, two hundred fifty-seven thousand, one hundred ninety-five".