541540511337 has 16 divisors (see below), whose sum is σ = 836508763520. Its totient is φ = 305212655232.

The previous prime is 541540511263. The next prime is 541540511353. The reversal of 541540511337 is 733115045145.

It is not a de Polignac number, because 541540511337 - 2²² = 541536317033 is a prime.

It is a super-2 number, since 2×541540511337² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541540511295 and 541540511304.

It is not an unprimeable number, because it can be changed into a prime (541540511357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176626162 + ... + 176629227.

It is an arithmetic number, because the mean of its divisors is an integer number (52281797720).

Almost surely, 2^541540511337 is an apocalyptic number.

It is an amenable number.

541540511337 is a deficient number, since it is larger than the sum of its proper divisors (294968252183).

541540511337 is a wasteful number, since it uses less digits than its factorization.

541540511337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353255472.

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 541540511337 in words is "five hundred forty-one billion, five hundred forty million, five hundred eleven thousand, three hundred thirty-seven".