25145713476 has 243 divisors, whose sum is σ = 73326772701. Its totient is φ = 7261420608.

The previous prime is 25145713469. The next prime is 25145713477. The reversal of 25145713476 is 67431754152.

The square root of 25145713476 is 158574.

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

25145713476 is a `hidden beast` number, since 2 + 5 + 1 + 4 + 571 + 3 + 4 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3719780100 + 21425933376 = 60990^2 + 146376^2 .

Its product of digits (705600) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (25145713477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 235006615 + ... + 235006721.

Almost surely, 2^25145713476 is an apocalyptic number.

25145713476 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

25145713476 is the 158574-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25145713476

25145713476 is an abundant number, since it is smaller than the sum of its proper divisors (48181059225).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25145713476 is a wasteful number, since it uses less digits than its factorization.

25145713476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 25145713476 in words is "twenty-five billion, one hundred forty-five million, seven hundred thirteen thousand, four hundred seventy-six".