5056517753001 has 48 divisors (see below), whose sum is σ = 8812669844160. Its totient is φ = 2752366469760.

The previous prime is 5056517752991. The next prime is 5056517753009. The reversal of 5056517753001 is 1003577156505.

5056517753001 is a `hidden beast` number, since 5 + 0 + 565 + 17 + 75 + 3 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 5056517753001 - 2¹⁹ = 5056517228713 is a prime.

It is a super-3 number, since 3×5056517753001³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5056517753009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53045871 + ... + 53141108.

It is an arithmetic number, because the mean of its divisors is an integer number (183597288420).

Almost surely, 2^{5056517753001} is an apocalyptic number.

It is an amenable number.

5056517753001 is a deficient number, since it is larger than the sum of its proper divisors (3756152091159).

5056517753001 is a wasteful number, since it uses less digits than its factorization.

5056517753001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106187046 (or 106187043 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The spelling of 5056517753001 in words is "five trillion, fifty-six billion, five hundred seventeen million, seven hundred fifty-three thousand, one".