541530503937 has 120 divisors (see below), whose sum is σ = 881477067240. Its totient is φ = 330878338560.

The previous prime is 541530503933. The next prime is 541530503951. The reversal of 541530503937 is 739305035145.

541530503937 is a `hidden beast` number, since 5 + 4 + 1 + 53 + 0 + 503 + 93 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20223399681 + 521307104256 = 142209^2 + 722016^2 .

It is not a de Polignac number, because 541530503937 - 2² = 541530503933 is a prime.

It is a super-2 number, since 2×541530503937² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 541530503892 and 541530503901.

It is not an unprimeable number, because it can be changed into a prime (541530503933) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170237487 + ... + 170240667.

It is an arithmetic number, because the mean of its divisors is an integer number (7345642227).

Almost surely, 2^541530503937 is an apocalyptic number.

It is an amenable number.

541530503937 is a deficient number, since it is larger than the sum of its proper divisors (339946563303).

541530503937 is a wasteful number, since it uses less digits than its factorization.

541530503937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 541530503937 in words is "five hundred forty-one billion, five hundred thirty million, five hundred three thousand, nine hundred thirty-seven".