7124879281 has 27 divisors (see below), whose sum is σ = 7951355307. Its totient is φ = 6381320400.

The previous prime is 7124879261. The next prime is 7124879291. The reversal of 7124879281 is 1829784217.

The square root of 7124879281 is 84409.

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., 1053976225 + 6070903056 = 32465^2 + 77916^2 .

It is not a de Polignac number, because 7124879281 - 2⁵ = 7124879249 is a prime.

It is a super-2 number, since 2×7124879281² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7124879261) 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, 47184556 + ... + 47184706.

It is an arithmetic number, because the mean of its divisors is an integer number (294494641).

Almost surely, 2^7124879281 is an apocalyptic number.

7124879281 is the 84409-th square number.

7124879281 is the 42205-th centered octagonal number.

It is an amenable number.

7124879281 is a deficient number, since it is larger than the sum of its proper divisors (826476026).

7124879281 is an equidigital number, since it uses as much as digits as its factorization.

7124879281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its digits is 451584, while the sum is 49.

The cubic root of 7124879281 is about 1924.2396980400.

Multiplying 7124879281 by its sum of digits (49), we get a square (349119084769 = 590863²).

The spelling of 7124879281 in words is "seven billion, one hundred twenty-four million, eight hundred seventy-nine thousand, two hundred eighty-one".