85516743501 has 24 divisors (see below), whose sum is σ = 141575033600. Its totient is φ = 48726678816.

The previous prime is 85516743451. The next prime is 85516743517. The reversal of 85516743501 is 10534761558.

85516743501 is a `hidden beast` number, since 8 + 55 + 167 + 435 + 0 + 1 = 666.

It is not a de Polignac number, because 85516743501 - 2⁹ = 85516742989 is a prime.

It is a super-3 number, since 3×85516743501³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85516743401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1922725 + ... + 1966698.

Almost surely, 2^85516743501 is an apocalyptic number.

It is an amenable number.

85516743501 is a deficient number, since it is larger than the sum of its proper divisors (56058290099).

85516743501 is a wasteful number, since it uses less digits than its factorization.

85516743501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889785 (or 3889782 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 85516743501 in words is "eighty-five billion, five hundred sixteen million, seven hundred forty-three thousand, five hundred one".