2117883537025 has 81 divisors (see below), whose sum is σ = 2793622910139. Its totient is φ = 1592674848000.

The previous prime is 2117883537023. The next prime is 2117883537053. The reversal of 2117883537025 is 5207353887112.

The square root of 2117883537025 is 1455295.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1443225003649 + 674658533376 = 1201343^2 + 821376^2 .

It is not a de Polignac number, because 2117883537025 - 2¹ = 2117883537023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2117883537023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9248399611 + ... + 9248399839.

Almost surely, 2^{2117883537025} is an apocalyptic number.

2117883537025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2117883537025 is the 1455295-th square number.

2117883537025 is the 727648-th centered octagonal number.

It is an amenable number.

2117883537025 is a deficient number, since it is larger than the sum of its proper divisors (675739373114).

2117883537025 is an frugal number, since it uses more digits than its factorization.

2117883537025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 2117883537025 in words is "two trillion, one hundred seventeen billion, eight hundred eighty-three million, five hundred thirty-seven thousand, twenty-five".