152052097 has 12 divisors (see below), whose sum is σ = 164535300. Its totient is φ = 140028416.

The previous prime is 152052083. The next prime is 152052101. The reversal of 152052097 is 790250251.

It can be written as a sum of positive squares in 2 ways, for example, as 78074896 + 73977201 = 8836^2 + 8601^2 .

It is not a de Polignac number, because 152052097 - 2¹⁹ = 151527809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152052007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35529 + ... + 39577.

It is an arithmetic number, because the mean of its divisors is an integer number (13711275).

Almost surely, 2^152052097 is an apocalyptic number.

152052097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

152052097 is a deficient number, since it is larger than the sum of its proper divisors (12483203).

152052097 is an equidigital number, since it uses as much as digits as its factorization.

152052097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 152052097 is about 12330.9406372750. The cubic root of 152052097 is about 533.7412945871.

The spelling of 152052097 in words is "one hundred fifty-two million, fifty-two thousand, ninety-seven".