10027313541 has 32 divisors (see below), whose sum is σ = 17976142080. Its totient is φ = 5392839168.

The previous prime is 10027313533. The next prime is 10027313561. The reversal of 10027313541 is 14531372001.

10027313541 is a `hidden beast` number, since 100 + 2 + 7 + 3 + 13 + 541 = 666.

It is not a de Polignac number, because 10027313541 - 2³ = 10027313533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027313521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557216 + ... + 1563641.

It is an arithmetic number, because the mean of its divisors is an integer number (561754440).

Almost surely, 2^10027313541 is an apocalyptic number.

It is an amenable number.

10027313541 is a deficient number, since it is larger than the sum of its proper divisors (7948828539).

10027313541 is a wasteful number, since it uses less digits than its factorization.

10027313541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120890 (or 3120884 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10027313541 its reverse (14531372001), we get a palindrome (24558685542).

The spelling of 10027313541 in words is "ten billion, twenty-seven million, three hundred thirteen thousand, five hundred forty-one".