1072583261 has 8 divisors (see below), whose sum is σ = 1135979064. Its totient is φ = 1009221120.

The previous prime is 1072583257. The next prime is 1072583279. The reversal of 1072583261 is 1623852701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 141967225 + 930616036 = 11915^2 + 30506^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1072583261 - 2² = 1072583257 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072583201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90521 + ... + 101681.

It is an arithmetic number, because the mean of its divisors is an integer number (141997383).

Almost surely, 2^1072583261 is an apocalyptic number.

It is an amenable number.

1072583261 is a deficient number, since it is larger than the sum of its proper divisors (63395803).

1072583261 is a wasteful number, since it uses less digits than its factorization.

1072583261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16831.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1072583261 is about 32750.3169602983. The cubic root of 1072583261 is about 1023.6315701978.

The spelling of 1072583261 in words is "one billion, seventy-two million, five hundred eighty-three thousand, two hundred sixty-one".