101653452112563 has 48 divisors (see below), whose sum is σ = 158872826286720. Its totient is φ = 62261428320000.

The previous prime is 101653452112559. The next prime is 101653452112577. The reversal of 101653452112563 is 365211254356101.

It is a happy number.

101653452112563 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 5 + 34 + 52 + 1 + 1 + 2 + 563 = 666.

It is not a de Polignac number, because 101653452112563 - 2² = 101653452112559 is a prime.

It is a super-2 number, since 2×101653452112563² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101653452112763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52201513 + ... + 54113813.

It is an arithmetic number, because the mean of its divisors is an integer number (3309850547640).

Almost surely, 2^{101653452112563} is an apocalyptic number.

101653452112563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101653452112563 is a deficient number, since it is larger than the sum of its proper divisors (57219374174157).

101653452112563 is a wasteful number, since it uses less digits than its factorization.

101653452112563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914460 (or 1914457 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 101653452112563 in words is "one hundred one trillion, six hundred fifty-three billion, four hundred fifty-two million, one hundred twelve thousand, five hundred sixty-three".