78177051318225 has 48 divisors (see below), whose sum is σ = 132412663422144. Its totient is φ = 40675206528000.

The previous prime is 78177051318211. The next prime is 78177051318229. The reversal of 78177051318225 is 52281315077187.

It is not a de Polignac number, because 78177051318225 - 2⁶ = 78177051318161 is a prime.

It is a super-3 number, since 3×78177051318225³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (78177051318229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54771474 + ... + 56180676.

It is an arithmetic number, because the mean of its divisors is an integer number (2758597154628).

Almost surely, 2^{78177051318225} is an apocalyptic number.

78177051318225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78177051318225 is a deficient number, since it is larger than the sum of its proper divisors (54235612103919).

78177051318225 is a wasteful number, since it uses less digits than its factorization.

78177051318225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427298 (or 1427293 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 57.

The spelling of 78177051318225 in words is "seventy-eight trillion, one hundred seventy-seven billion, fifty-one million, three hundred eighteen thousand, two hundred twenty-five".