61427144025 has 243 divisors, whose sum is σ = 126180040311. Its totient is φ = 28551744000.

The previous prime is 61427144003. The next prime is 61427144029. The reversal of 61427144025 is 52044172416.

The square root of 61427144025 is 247845.

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

61427144025 is a `hidden beast` number, since 6 + 142 + 71 + 440 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 55668155481 + 5758988544 = 235941^2 + 75888^2 .

It is not a de Polignac number, because 61427144025 - 2⁹ = 61427143513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61427144029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1498223005 + ... + 1498223045.

Almost surely, 2^61427144025 is an apocalyptic number.

61427144025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61427144025 is the 247845-th square number.

61427144025 is the 123923-rd centered octagonal number.

It is an amenable number.

61427144025 is an abundant number, since it is smaller than the sum of its proper divisors (64752896286).

61427144025 is a wasteful number, since it uses less digits than its factorization.

61427144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 61427144025 by its sum of digits (36), we get a square (2211377184900 = 1487070²).

The spelling of 61427144025 in words is "sixty-one billion, four hundred twenty-seven million, one hundred forty-four thousand, twenty-five".