1801088541 has 64 divisors (see below), whose sum is σ = 3151424000. Its totient is φ = 1029193452.

The previous prime is 1801088537. The next prime is 1801088543. The reversal of 1801088541 is 1458801081.

It is a happy number.

It is a perfect power (a 7-th power), and thus also a powerful number.

1801088541 is a `hidden beast` number, since 1 + 8 + 0 + 108 + 8 + 541 = 666.

It is not a de Polignac number, because 1801088541 - 2² = 1801088537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1801088496 and 1801088505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801088543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257298360 + ... + 257298366.

It is an arithmetic number, because the mean of its divisors is an integer number (49241000).

Almost surely, 2^1801088541 is an apocalyptic number.

It is an amenable number.

1801088541 is a deficient number, since it is larger than the sum of its proper divisors (1350335459).

1801088541 is an frugal number, since it uses more digits than its factorization.

1801088541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1801088541 is about 42439.2335109860. The cubic root of 1801088541 is about 1216.6855617841.

The spelling of 1801088541 in words is "one billion, eight hundred one million, eighty-eight thousand, five hundred forty-one".