48540000257 has 32 divisors (see below), whose sum is σ = 56804966400. Its totient is φ = 40622212800.

The previous prime is 48540000221. The next prime is 48540000259. The reversal of 48540000257 is 75200004584.

It is a cyclic number.

It is not a de Polignac number, because 48540000257 - 2¹² = 48539996161 is a prime.

It is a super-2 number, since 2×48540000257² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48540000259) 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, 19116494 + ... + 19119032.

It is an arithmetic number, because the mean of its divisors is an integer number (1775155200).

Almost surely, 2^48540000257 is an apocalyptic number.

It is an amenable number.

48540000257 is a deficient number, since it is larger than the sum of its proper divisors (8264966143).

48540000257 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (48540000256) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2997).

48540000257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997.

The product of its (nonzero) digits is 44800, while the sum is 35.

The spelling of 48540000257 in words is "forty-eight billion, five hundred forty million, two hundred fifty-seven", and thus it is an aban number.