48100005291 has 48 divisors (see below), whose sum is σ = 71432196864. Its totient is φ = 28618137216.

The previous prime is 48100005287. The next prime is 48100005347. The reversal of 48100005291 is 19250000184.

It is a happy number.

It is not a de Polignac number, because 48100005291 - 2² = 48100005287 is a prime.

It is a super-3 number, since 3×48100005291³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

48100005291 is a modest number, since divided by 5291 gives 481 as remainder.

It is not an unprimeable number, because it can be changed into a prime (48100005221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8699970 + ... + 8705496.

It is an arithmetic number, because the mean of its divisors is an integer number (1488170768).

Almost surely, 2^48100005291 is an apocalyptic number.

48100005291 is a deficient number, since it is larger than the sum of its proper divisors (23332191573).

48100005291 is a wasteful number, since it uses less digits than its factorization.

48100005291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 48100005291 in words is "forty-eight billion, one hundred million, five thousand, two hundred ninety-one".