93252669129 has 27 divisors (see below), whose sum is σ = 135871544263. Its totient is φ = 61631600352.

The previous prime is 93252669101. The next prime is 93252669157. The reversal of 93252669129 is 92196625239.

It is a happy number.

The square root of 93252669129 is 305373.

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

93252669129 is a `hidden beast` number, since 9 + 3 + 2 + 526 + 6 + 91 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (93252669101) and next prime (93252669157).

It can be written as a sum of positive squares in only one way, i.e., 54777062025 + 38475607104 = 234045^2 + 196152^2 .

It is not a de Polignac number, because 93252669129 - 2⁷ = 93252669001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93252669179) 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, 125507932 + ... + 125508674.

Almost surely, 2^93252669129 is an apocalyptic number.

93252669129 is the 305373-rd square number.

93252669129 is the 152687-th centered octagonal number.

It is an amenable number.

93252669129 is a deficient number, since it is larger than the sum of its proper divisors (42618875134).

93252669129 is an frugal number, since it uses more digits than its factorization.

93252669129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 883 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 93252669129 in words is "ninety-three billion, two hundred fifty-two million, six hundred sixty-nine thousand, one hundred twenty-nine".