1041205956025 has 81 divisors (see below), whose sum is σ = 1427501330031. Its totient is φ = 753198446880.

The previous prime is 1041205956013. The next prime is 1041205956047. The reversal of 1041205956025 is 5206595021401.

The square root of 1041205956025 is 1020395.

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., 374834144169 + 666371811856 = 612237^2 + 816316^2 .

It is not a de Polignac number, because 1041205956025 - 2³⁷ = 903767002553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2229562842 + ... + 2229563308.

Almost surely, 2^{1041205956025} is an apocalyptic number.

1041205956025 is the 1020395-th square number.

1041205956025 is the 510198-th centered octagonal number.

It is an amenable number.

1041205956025 is a deficient number, since it is larger than the sum of its proper divisors (386295374006).

1041205956025 is an frugal number, since it uses more digits than its factorization.

1041205956025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 1041205956025 in words is "one trillion, forty-one billion, two hundred five million, nine hundred fifty-six thousand, twenty-five".