2978057747025 has 81 divisors (see below), whose sum is σ = 5540206202193. Its totient is φ = 1587924712800.

The previous prime is 2978057747023. The next prime is 2978057747059. The reversal of 2978057747025 is 5207477508792.

The square root of 2978057747025 is 1725705.

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

2978057747025 is a `hidden beast` number, since 2 + 9 + 78 + 0 + 5 + 77 + 470 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585541752849 + 2392515994176 = 765207^2 + 1546776^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 2978057747025 - 2¹ = 2978057747023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2978057747023) 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, 698908395 + ... + 698912655.

Almost surely, 2^{2978057747025} is an apocalyptic number.

2978057747025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2978057747025 is the 1725705-th square number.

2978057747025 is the 862853-rd centered octagonal number.

It is an amenable number.

2978057747025 is a deficient number, since it is larger than the sum of its proper divisors (2562148455168).

2978057747025 is an frugal number, since it uses more digits than its factorization.

2978057747025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 2978057747025 in words is "two trillion, nine hundred seventy-eight billion, fifty-seven million, seven hundred forty-seven thousand, twenty-five".