1071829525264 has 45 divisors (see below), whose sum is σ = 2111769271989. Its totient is φ = 527005039680.

The previous prime is 1071829525259. The next prime is 1071829525271. The reversal of 1071829525264 is 4625259281701.

It is a happy number.

The square root of 1071829525264 is 1035292.

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., 34853902864 + 1036975622400 = 186692^2 + 1018320^2 .

It is a super-2 number, since 2×1071829525264² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 252609127 + ... + 252613369.

Almost surely, 2^{1071829525264} is an apocalyptic number.

1071829525264 is the 1035292-nd square number.

It is an amenable number.

1071829525264 is a deficient number, since it is larger than the sum of its proper divisors (1039939746725).

1071829525264 is an frugal number, since it uses more digits than its factorization.

1071829525264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 1071829525264 in words is "one trillion, seventy-one billion, eight hundred twenty-nine million, five hundred twenty-five thousand, two hundred sixty-four".