10737345072541 has 2 divisors, whose sum is σ = 10737345072542. Its totient is φ = 10737345072540.

The previous prime is 10737345072481. The next prime is 10737345072547. The reversal of 10737345072541 is 14527054373701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10485194467225 + 252150605316 = 3238085^2 + 502146^2 .

It is a cyclic number.

It is not a de Polignac number, because 10737345072541 - 2⁷ = 10737345072413 is a prime.

It is a super-3 number, since 3×10737345072541³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10737345072547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5368672536270 + 5368672536271.

It is an arithmetic number, because the mean of its divisors is an integer number (5368672536271).

Almost surely, 2^{10737345072541} is an apocalyptic number.

It is an amenable number.

10737345072541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10737345072541 is an equidigital number, since it uses as much as digits as its factorization.

10737345072541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2469600, while the sum is 49.

The spelling of 10737345072541 in words is "ten trillion, seven hundred thirty-seven billion, three hundred forty-five million, seventy-two thousand, five hundred forty-one".