51588588465561 has 32 divisors (see below), whose sum is σ = 79610061783040. Its totient is φ = 29104649286336.

The previous prime is 51588588465559. The next prime is 51588588465599. The reversal of 51588588465561 is 16556488588515.

It is not a de Polignac number, because 51588588465561 - 2¹ = 51588588465559 is a prime.

It is a super-2 number, since 2×51588588465561² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51588588465541) 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, 34516995 + ... + 35980551.

It is an arithmetic number, because the mean of its divisors is an integer number (2487814430720).

Almost surely, 2^{51588588465561} is an apocalyptic number.

It is an amenable number.

51588588465561 is a deficient number, since it is larger than the sum of its proper divisors (28021473317479).

51588588465561 is a wasteful number, since it uses less digits than its factorization.

51588588465561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484893.

The product of its digits is 1843200000, while the sum is 75.

The spelling of 51588588465561 in words is "fifty-one trillion, five hundred eighty-eight billion, five hundred eighty-eight million, four hundred sixty-five thousand, five hundred sixty-one".