153508993 has 16 divisors (see below), whose sum is σ = 175472640. Its totient is φ = 133016400.

The previous prime is 153508987. The next prime is 153509009. The reversal of 153508993 is 399805351.

It is not a de Polignac number, because 153508993 - 2¹³ = 153500801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153508493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19488 + ... + 26206.

It is an arithmetic number, because the mean of its divisors is an integer number (10967040).

Almost surely, 2^153508993 is an apocalyptic number.

It is an amenable number.

153508993 is a deficient number, since it is larger than the sum of its proper divisors (21963647).

153508993 is a wasteful number, since it uses less digits than its factorization.

153508993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828.

The product of its (nonzero) digits is 145800, while the sum is 43.

The square root of 153508993 is about 12389.8746159919. The cubic root of 153508993 is about 535.4405699258.

The spelling of 153508993 in words is "one hundred fifty-three million, five hundred eight thousand, nine hundred ninety-three".