86573100100753 has 4 divisors (see below), whose sum is σ = 98940685829440. Its totient is φ = 74205514372068.

The previous prime is 86573100100709. The next prime is 86573100100771. The reversal of 86573100100753 is 35700100137568.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86573100100753 is a prime.

It is a super-3 number, since 3×86573100100753³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (86573100140753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6183792864333 + ... + 6183792864346.

It is an arithmetic number, because the mean of its divisors is an integer number (24735171457360).

Almost surely, 2^{86573100100753} is an apocalyptic number.

It is an amenable number.

86573100100753 is a deficient number, since it is larger than the sum of its proper divisors (12367585728687).

86573100100753 is a wasteful number, since it uses less digits than its factorization.

86573100100753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12367585728686.

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 86573100100753 in words is "eighty-six trillion, five hundred seventy-three billion, one hundred million, one hundred thousand, seven hundred fifty-three".