75970243129 has 9 divisors (see below), whose sum is σ = 83507814831. Its totient is φ = 69061101120.

The previous prime is 75970243121. The next prime is 75970243133. The reversal of 75970243129 is 92134207957.

It is a happy number.

The square root of 75970243129 is 275627.

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., 17235751225 + 58734491904 = 131285^2 + 242352^2 .

It is not a de Polignac number, because 75970243129 - 2³ = 75970243121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75970243121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3019369 + ... + 3044425.

Almost surely, 2^75970243129 is an apocalyptic number.

75970243129 is the 275627-th square number.

75970243129 is the 137814-th centered octagonal number.

It is an amenable number.

75970243129 is a deficient number, since it is larger than the sum of its proper divisors (7537571702).

75970243129 is an frugal number, since it uses more digits than its factorization.

75970243129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50136 (or 25068 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 75970243129 by its sum of digits (49), we get a square (3722541913321 = 1929389²).

The spelling of 75970243129 in words is "seventy-five billion, nine hundred seventy million, two hundred forty-three thousand, one hundred twenty-nine".