152953101 has 24 divisors (see below), whose sum is σ = 260642304. Its totient is φ = 84581280.

The previous prime is 152953093. The next prime is 152953103. The reversal of 152953101 is 101359251.

It is not a de Polignac number, because 152953101 - 2³ = 152953093 is a prime.

It is a super-2 number, since 2×152953101² = 46789302211032402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152953103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37206 + ... + 41111.

It is an arithmetic number, because the mean of its divisors is an integer number (10860096).

Almost surely, 2^152953101 is an apocalyptic number.

It is an amenable number.

152953101 is a deficient number, since it is larger than the sum of its proper divisors (107689203).

152953101 is a wasteful number, since it uses less digits than its factorization.

152953101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78361 (or 78358 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 152953101 is about 12367.4209518396. The cubic root of 152953101 is about 534.7934696455.

The spelling of 152953101 in words is "one hundred fifty-two million, nine hundred fifty-three thousand, one hundred one".