153009973 has 2 divisors, whose sum is σ = 153009974. Its totient is φ = 153009972.

The previous prime is 153009931. The next prime is 153010009. The reversal of 153009973 is 379900351.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123165604 + 29844369 = 11098^2 + 5463^2 .

It is a cyclic number.

It is not a de Polignac number, because 153009973 - 2²⁵ = 119455541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153001973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76504986 + 76504987.

It is an arithmetic number, because the mean of its divisors is an integer number (76504987).

Almost surely, 2^153009973 is an apocalyptic number.

It is an amenable number.

153009973 is a deficient number, since it is larger than the sum of its proper divisors (1).

153009973 is an equidigital number, since it uses as much as digits as its factorization.

153009973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25515, while the sum is 37.

The square root of 153009973 is about 12369.7200049152. The cubic root of 153009973 is about 534.8597448744.

The spelling of 153009973 in words is "one hundred fifty-three million, nine thousand, nine hundred seventy-three".