78235882461025 has 27 divisors (see below), whose sum is σ = 97214559120651. Its totient is φ = 62458612164480.

The previous prime is 78235882461007. The next prime is 78235882461097. The reversal of 78235882461025 is 52016428853287.

It is a happy number.

The square root of 78235882461025 is 8845105.

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 77800567534369 + 435314926656 = 8820463^2 + 659784^2 .

It is not a de Polignac number, because 78235882461025 - 2⁹ = 78235882460513 is a prime.

It is a super-2 number, since 2×78235882461025² (a number of 29 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 26 ways as a sum of consecutive naturals, for example, 25164322171 + ... + 25164325279.

Almost surely, 2^{78235882461025} is an apocalyptic number.

78235882461025 is the 8845105-th square number.

78235882461025 is the 4422553-rd centered octagonal number.

It is an amenable number.

78235882461025 is a deficient number, since it is larger than the sum of its proper divisors (18978676659626).

78235882461025 is an frugal number, since it uses more digits than its factorization.

78235882461025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 61.

The spelling of 78235882461025 in words is "seventy-eight trillion, two hundred thirty-five billion, eight hundred eighty-two million, four hundred sixty-one thousand, twenty-five".