152513129 has 2 divisors, whose sum is σ = 152513130. Its totient is φ = 152513128.

The previous prime is 152513099. The next prime is 152513143. The reversal of 152513129 is 921315251.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108264025 + 44249104 = 10405^2 + 6652^2 .

It is an emirp because it is prime and its reverse (921315251) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 152513129 - 2¹⁶ = 152447593 is a prime.

It is not a weakly prime, because it can be changed into another prime (152513329) 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 as a sum of consecutive naturals, namely, 76256564 + 76256565.

It is an arithmetic number, because the mean of its divisors is an integer number (76256565).

Almost surely, 2^152513129 is an apocalyptic number.

It is an amenable number.

152513129 is a deficient number, since it is larger than the sum of its proper divisors (1).

152513129 is an equidigital number, since it uses as much as digits as its factorization.

152513129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2700, while the sum is 29.

The square root of 152513129 is about 12349.6206014598. The cubic root of 152513129 is about 534.2801965764.

The spelling of 152513129 in words is "one hundred fifty-two million, five hundred thirteen thousand, one hundred twenty-nine".