35112794616025 has 243 divisors, whose sum is σ = 56374148243511. Its totient is φ = 21625708769280.

The previous prime is 35112794616013. The next prime is 35112794616037. The reversal of 35112794616025 is 52061649721153.

The square root of 35112794616025 is 5925605.

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

It is an interprime number because it is at equal distance from previous prime (35112794616013) and next prime (35112794616037).

It can be written as a sum of positive squares in 13 ways, for example, as 27188997490249 + 7923797125776 = 5214307^2 + 2814924^2 .

It is not a de Polignac number, because 35112794616025 - 2⁵ = 35112794615993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 81091904209 + ... + 81091904641.

Almost surely, 2^{35112794616025} is an apocalyptic number.

35112794616025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35112794616025 is the 5925605-th square number.

35112794616025 is the 2962803-rd centered octagonal number.

It is an amenable number.

35112794616025 is a deficient number, since it is larger than the sum of its proper divisors (21261353627486).

35112794616025 is an equidigital number, since it uses as much as digits as its factorization.

35112794616025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 35112794616025 in words is "thirty-five trillion, one hundred twelve billion, seven hundred ninety-four million, six hundred sixteen thousand, twenty-five".