514006101153 has 48 divisors (see below), whose sum is σ = 788385312000. Its totient is φ = 321588352512.

The previous prime is 514006101143. The next prime is 514006101181. The reversal of 514006101153 is 351101600415.

514006101153 is a `hidden beast` number, since 5 + 1 + 40 + 0 + 610 + 1 + 1 + 5 + 3 = 666.

It is not a de Polignac number, because 514006101153 - 2²⁶ = 513938992289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (514006101143) 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, 120855175 + ... + 120859427.

It is an arithmetic number, because the mean of its divisors is an integer number (16424694000).

Almost surely, 2^514006101153 is an apocalyptic number.

It is an amenable number.

514006101153 is a deficient number, since it is larger than the sum of its proper divisors (274379210847).

514006101153 is a wasteful number, since it uses less digits than its factorization.

514006101153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 514006101153 its reverse (351101600415), we get a palindrome (865107701568).

The spelling of 514006101153 in words is "five hundred fourteen billion, six million, one hundred one thousand, one hundred fifty-three".