540577251 has 24 divisors (see below), whose sum is σ = 801846864. Its totient is φ = 350730240.

The previous prime is 540577249. The next prime is 540577267. The reversal of 540577251 is 152775045.

It is not a de Polignac number, because 540577251 - 2¹ = 540577249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540577201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170755 + ... + 173891.

It is an arithmetic number, because the mean of its divisors is an integer number (33410286).

Almost surely, 2^540577251 is an apocalyptic number.

540577251 is a deficient number, since it is larger than the sum of its proper divisors (261269613).

540577251 is a wasteful number, since it uses less digits than its factorization.

540577251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 540577251 is about 23250.3172236423. The cubic root of 540577251 is about 814.6153483646.

The spelling of 540577251 in words is "five hundred forty million, five hundred seventy-seven thousand, two hundred fifty-one".