53762129 has 2 divisors, whose sum is σ = 53762130. Its totient is φ = 53762128.

The previous prime is 53762069. The next prime is 53762131. The reversal of 53762129 is 92126735.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37945600 + 15816529 = 6160^2 + 3977^2 .

It is a cyclic number.

It is not a de Polignac number, because 53762129 - 2²⁰ = 52713553 is a prime.

It is a super-2 number, since 2×53762129² = 5780733029225282, which contains 22 as substring.

Together with 53762131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (53752129) 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 as a sum of consecutive naturals, namely, 26881064 + 26881065.

It is an arithmetic number, because the mean of its divisors is an integer number (26881065).

Almost surely, 2^53762129 is an apocalyptic number.

It is an amenable number.

53762129 is a deficient number, since it is larger than the sum of its proper divisors (1).

53762129 is an equidigital number, since it uses as much as digits as its factorization.

53762129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 35.

The square root of 53762129 is about 7332.2662935821. The cubic root of 53762129 is about 377.4205004878.

The spelling of 53762129 in words is "fifty-three million, seven hundred sixty-two thousand, one hundred twenty-nine".