953142129 has 27 divisors (see below), whose sum is σ = 1416803947. Its totient is φ = 617460000.

The previous prime is 953142097. The next prime is 953142131. The reversal of 953142129 is 921241359.

The square root of 953142129 is 30873.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45927729 + 907214400 = 6777^2 + 30120^2 .

It is not a de Polignac number, because 953142129 - 2⁵ = 953142097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 953142093 and 953142102.

It is not an unprimeable number, because it can be changed into a prime (953143129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3797254 + ... + 3797504.

Almost surely, 2^953142129 is an apocalyptic number.

953142129 is the 30873-rd square number.

953142129 is the 15437-th centered octagonal number.

It is an amenable number.

953142129 is a deficient number, since it is larger than the sum of its proper divisors (463661818).

953142129 is an equidigital number, since it uses as much as digits as its factorization.

953142129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The cubic root of 953142129 is about 984.1301911072.

Multiplying 953142129 by its sum of digits (36), we get a square (34313116644 = 185238²).

The spelling of 953142129 in words is "nine hundred fifty-three million, one hundred forty-two thousand, one hundred twenty-nine".