601155910547361 has 27 divisors (see below), whose sum is σ = 940270996742259. Its totient is φ = 369941510354832.

The previous prime is 601155910547341. The next prime is 601155910547417. The reversal of 601155910547361 is 163745019551106.

The square root of 601155910547361 is 24518481.

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

601155910547361 is a `hidden beast` number, since 6 + 0 + 1 + 1 + 5 + 5 + 9 + 105 + 473 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88928389134225 + 512227521413136 = 9430185^2 + 22632444^2 .

It is not a de Polignac number, because 601155910547361 - 2¹⁹ = 601155910023073 is a prime.

It is a super-2 number, since 2×601155910547361² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 601155910547298 and 601155910547307.

It is not an unprimeable number, because it can be changed into a prime (601155910547341) 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, 955906420 + ... + 956535098.

Almost surely, 2^{601155910547361} is an apocalyptic number.

601155910547361 is the 24518481-st square number.

601155910547361 is the 12259241-st centered octagonal number.

It is an amenable number.

601155910547361 is a deficient number, since it is larger than the sum of its proper divisors (339115086194898).

601155910547361 is an frugal number, since it uses more digits than its factorization.

601155910547361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257390 (or 628695 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 601155910547361 in words is "six hundred one trillion, one hundred fifty-five billion, nine hundred ten million, five hundred forty-seven thousand, three hundred sixty-one".