130678635025 has 27 divisors (see below), whose sum is σ = 163313220369. Its totient is φ = 103728821280.

The previous prime is 130678635001. The next prime is 130678635049. The reversal of 130678635025 is 520536876031.

The square root of 130678635025 is 361495.

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 (130678635001) and next prime (130678635049).

It can be written as a sum of positive squares in 4 ways, for example, as 30133835281 + 100544799744 = 173591^2 + 317088^2 .

It is not a de Polignac number, because 130678635025 - 2¹⁷ = 130678503953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 356072392 + ... + 356072758.

Almost surely, 2^130678635025 is an apocalyptic number.

130678635025 is the 361495-th square number.

130678635025 is the 180748-th centered octagonal number.

It is an amenable number.

130678635025 is a deficient number, since it is larger than the sum of its proper divisors (32634585344).

130678635025 is an frugal number, since it uses more digits than its factorization.

130678635025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

It can be divided in two parts, 130678 and 635025, that added together give a triangular number (765703 = T₁₂₃₇).

The spelling of 130678635025 in words is "one hundred thirty billion, six hundred seventy-eight million, six hundred thirty-five thousand, twenty-five".