541841737801 has 27 divisors (see below), whose sum is σ = 682604754741. Its totient is φ = 428656947264.

The previous prime is 541841737777. The next prime is 541841737823. The reversal of 541841737801 is 108737148145.

The square root of 541841737801 is 736099.

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

It can be written as a sum of positive squares in 4 ways, for example, as 415051620025 + 126790117776 = 644245^2 + 356076^2 .

It is not a de Polignac number, because 541841737801 - 2²⁵ = 541808183369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (541841717801) 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, 66980965 + ... + 66989053.

It is an arithmetic number, because the mean of its divisors is an integer number (25281657583).

Almost surely, 2^541841737801 is an apocalyptic number.

541841737801 is the 736099-th square number.

541841737801 is the 368050-th centered octagonal number.

It is an amenable number.

541841737801 is a deficient number, since it is larger than the sum of its proper divisors (140763016940).

541841737801 is an frugal number, since it uses more digits than its factorization.

541841737801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16218 (or 8109 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

Multiplying 541841737801 by its sum of digits (49), we get a square (26550245152249 = 5152693²).

541841737801 divided by its sum of digits (49) gives a square (11057994649 = 105157²).

The spelling of 541841737801 in words is "five hundred forty-one billion, eight hundred forty-one million, seven hundred thirty-seven thousand, eight hundred one".